For all those who didn't understand how sir isolated x at 40:15 We have, x•log3 = (x-1)•log4 x•log3 = x•log4 - log4 (Distributing log4) x•log3 - x•log4 = -log4 (Subtracting x•log4 from both sides) -x(log4-log3) = - log4 (Taking x common) -x = (-log4)/(log4-log3) (Dividing both sides by log4-log3) x = (log4)/(log4-log3) (Multiplying both sides by -1) Hope it helps.
Bro if 2026 aspirant here please don't start depending on oneshots else you will ruin your prep do all chapters from full lectures from basics to advance level I am 2025 jee student that's why using oneshots because of less time but you have sufficient time then use lectures of goat teachers some are - mohit tyagi channel , maths unplugged channel, mathsmurizing, sachin sir pw
1:25:51 for those students who were not able to do Log b/log a^n = let base be be a^n Then log a^n b / 1 So log a^n b Now by second deduction 1/log b a^n 1/n * 1/log b a 1/n * log a b
@@kaliaiit sir ji....aap ne kamaal kar diya reply kar ke. unexpected. we know your color thing as you've already shared with us in the past but STILL overall your "Noor" has increased is what I mean 😊Wish you very best again 😊
hare krsna bhai everyone knows maths is the most toughest subject in JEE aapke one shots bhot help kr rhe hai 11th backlog ke liye bas ek request hai ki please please please one shot ki vjh se lecture chota mt rkho chahe 1-2 hours extra extend krdo video lekin ekdum advance level tk ques practice krwa do jee valo ne maths ka level bhot bdha diya hai please usko dhyan me rkhte hue one shots do 8 hrs tk ke one shots bhi de do ham pdh lenge bas high level ques krwao advance level tk
@@Kaushik_madamaina It's correct brother to multiply the entities we need to take the base as three otherwise we won't be able to continue with the solution hope it helped
I am not a JEE aspirant I just saw this video and watched it, and it took me 5 days to understand it completely. Thank you so much Sir you explained everything nicely POV( Not an JEE aspirant please don't judge me that I took 3 days to understand it I am just an average student )
Lgta hai abhi aap log legendary subham sir se nhi mile ho he is a very youngest and best maths teacher and no ine like him and no one can beat him .. If you eant ti try search sumeetup you will find out who is he ..
57:23 Sir why is the answer wrong when done like this: X^(log x^2+(log x)^2-10)=x^-2 log x^2+(log x)^2-10=-2 Let log x be a a^2+2a-8=0 And after solving this we get a=-4,2 And from here x is 9 and 1/81
50:58 Sir maine alag approach lagayi First i converter log27 to the base 3 in 3log3 to the base 3... then log3 to the base 3 becomes 1 and 2 + 3 = 5 then finally i converted logarithmic equation to exponential and it became 3^5=(4x+7)
Baap re baap kya heavy padha rhe hai sir...Dil dimmag sb khul gaya..Majaa aa gaya....Sir aap problem solving sessions Lao na plz..Ye 11th aur 12 th ke concepts Mila ke...
1:06:04 we could also take a fraction of all (two equations at a time) then calculate p and r in form of q and compare to any one of the equations and calculate p,q,r
Actually, a=log of 2 to the base 10 and b=log of 5 to the base 10 so according to the property, log 2 to the base + log 5 to the base 10= log of 10 to the base 10 which is 1. Therefore, a+b=1. Hope you understand!
When you said bhai ke champions it directly hits me in the heart thank you sir for constantly motivating us . By the way I had done this question ( time span 37:09) within 15 sec 😊
Kyunki agar katoge toh x = 1 aayega jiska matlab 1/ log x base 2 = 1/0 = Undefined... Aur log 2 base x bhi undefined hoga kyunki base 1 nhi hosakta kabhi bhi logarithm ke definition ke baje se... Esliye kaatne ka kuch fayda nhi, bina wajah ke undefined hojayega.
@@πΣυφ-μ2ξ but the value of t is also 0, which is also undefined in sense of log, so can't we directly cut it, as in both cases, we get undefined answers??
Sir jab aapka vedantu pe goodbye dekha tab laga ki shayad aapse padhne ka mauka na mile aur iss wajah se mai udaas thi, but sir , aap hamare liye fir se best content lekar aaye ❤ thank uu sir
Nhi bhai ye advance level tq nhi tha jee mains level tha subham sir ne liya hai advanced level ka content search sumeetup then you realize that it is low lable ..
Good evening sir i am student of class 11 started prep for iit jee sir your oneshots of sets s log is very great sir can you also make oneshot or lecture on fundamentals of mathematics thankyou sir .
57:29 I solved without taking log, if a^b = a^c then either a = 1 or b = c so I solved both cases and substituted log3(x) as y and found its quadratic and found value of y and then found value of x I dont know how sir is getting cubic equation
241 ko 5 se ÷ nahi kiya gya hai* 5 ko next aane Wale term 5/6 se and similarly 241 ko usse phle aane Wale term i.e 240/241 se cancel Kiya gya hai" hope this will help 🛐
It's 10^50 50^50/25^25 (2×25)^50/25^25 2^50×25^50/25^25 2^50×25^25×25^25/25^25 Cancel our 1 term You will get 2^50×25^25 2^50×((5)^2)^25 2^50×5^50 (2×5)^50 10^50
greetings, sir. i just gave my ssc board exam and am a JEE aspirant. i was able to do the question at 1:46:45 on my own. thank you. you're a great teacher.
Very nice way of teaching . I understood everything very well. But sir 1:45:38 you did a mistake in this question resulting in wrong answer according to me❤
Sir me 5th class me. Hu ....my mother is a student of IIT and my father is teacher in IIT they both are having huge experience that's why from they want me to study for knowledge not for marks ....so for knowledge I'm studing 12th 11 th class concept in 5th only basics one Hope you will like it 🙂
Sir I would you to say that ❤No doubt you are teaching very well ❤ 🤌Can you use less this word ghatiy(घटिया) and ( बदसूरत )badsurt 🙏 Because I think in maths not anything ugly or useless Maths isfull of beauty and usefull things are here
Sir I even think that, I don't know about this new channel, I know this because of recommendation. Since, I used to learn maths from vedantu PCM playlist. Thank u sir for your love❤
FOR CLASS NOTES & DPP check the telegram channel t.me/JEEnexus
Thankyou for the efforts sir ❤😊
Exactly right ❤❤❤❤ # mera bhai Mera Bhai
Sir DPP kaha hai
Sir dpp???
Sir ye galt hai
For all those who didn't understand how sir isolated x at 40:15
We have,
x•log3 = (x-1)•log4
x•log3 = x•log4 - log4 (Distributing log4)
x•log3 - x•log4 = -log4
(Subtracting x•log4 from both sides)
-x(log4-log3) = - log4
(Taking x common)
-x = (-log4)/(log4-log3)
(Dividing both sides by log4-log3)
x = (log4)/(log4-log3)
(Multiplying both sides by -1)
Hope it helps.
Thanks😢
Bhai thanks a lot
Thanks a lot
Thanks bro☺☺
Vv thanks 🙏👍
Log❌ backlog☑️
Test tomorrow 😶🌫️
how it is going on
1:23:59
@Iamaneownoew🧏🏻🤫
😂😂
1:45:00 there should be root 3 instead of root 2 in case anyone need help not pointing out the mistake
yeah i was figuring it out since then, finally checked out for this comment
Came here to figure it out ❤❤
U've saved my time
I too thought so
And in last solution there should be base 30 in place of base 10
Jee 2026 aspirants here?
Yess
Yess
Yesss
Bro if 2026 aspirant here please don't start depending on oneshots else you will ruin your prep do all chapters from full lectures from basics to advance level
I am 2025 jee student that's why using oneshots because of less time but you have sufficient time then use lectures of goat teachers some are - mohit tyagi channel , maths unplugged channel, mathsmurizing, sachin sir pw
@@chitranshsharma708bro where can i get full lectures
1:25:51 for those students who were not able to do
Log b/log a^n = let base be be a^n
Then log a^n b / 1
So log a^n b
Now by second deduction
1/log b a^n
1/n * 1/log b a
1/n * log a b
It's very helpful for other ❤❤❤
@@Krishshah1helpful for others but now I forgot what I was trying to say 😭😭😭😭
@@Future_iitian_😂
Bro your playlist is helpful. Btw which nit are you attending right now?
@@padmammagovindappa counseling baaki he , most probably warangal milegi
PW walo attendance lagao 😂
Ha ha...present sir 😂
40:14
xloga3=(x-1)loga4
xloga3=xloga4-loga4
xloga3-xloga4=-loga4
-x(loga4-loga3)=-loga4
x=loga4/(loga4-loga3)
niche se loga4 1 kaise huya
a=3
So log3 3=1
thank you somuch@@khushihirwani300
Thank u ❤
Acha Admi ♥
he is looking more young in Unacadeny Vs Vedantu 😊All the best
Iska raaz hai " hair colour" 😊😊😊..... ❤❤
@@kaliaiit sir ji....aap ne kamaal kar diya reply kar ke. unexpected. we know your color thing as you've already shared with us in the past but STILL overall your "Noor" has increased is what I mean 😊Wish you very best again 😊
Bhai pessa jyada milta h to aadmi javaan hojata haii 🤣
Hamara bhai hai hi hero, Bollywood walo ko fail krde asli mogger🤫🧏
@@kaliaiit sir aap shubman gill jaise dikhte ho, kasam sse
Batch 2024-25 attendance here
Yes $|π!!!!!!!
😂😂😂
yessir
Yes
ye chapter G faad hai
@@TGBFFDH baat to shi h to phir integration to iska baap hua 😂😂
hare krsna bhai
everyone knows maths is the most toughest subject in JEE aapke one shots bhot help kr rhe hai 11th backlog ke liye bas ek request hai ki please please please one shot ki vjh se lecture chota mt rkho chahe 1-2 hours extra extend krdo video lekin ekdum advance level tk ques practice krwa do jee valo ne maths ka level bhot bdha diya hai please usko dhyan me rkhte hue one shots do 8 hrs tk ke one shots bhi de do ham pdh lenge bas high level ques krwao advance level tk
Yes plz🙏🏻
Kr$na
@@kingkanha23 $ sign
8 hr ka one shot 😳🤯🤯
Abe 8 hr ka detailed lecture ho jata h tu one shot kr piche pgl hora h
59:36 You can't take log3 base x as t when you have already assigned it the value x= logx base a
is that correct or not?
@@Kaushik_madamaina It's correct brother to multiply the entities we need to take the base as three otherwise we won't be able to continue with the solution hope it helped
I am not a JEE aspirant I just saw this video and watched it, and it took me 5 days to understand it completely. Thank you so much Sir you explained everything nicely
POV( Not an JEE aspirant please don't judge me that I took 3 days to understand it I am just an average student )
Aap thodi unacademy ki t shirt mein different lagte ho but dheere dheere is t shirt se bhi feelings connect ho jayengi
Sir ne vedantu ko leave kar Diya kya....??🥺
Sachi Bhai mujhe bhi ajeeb lagta hai😂
Bhai par unacadmy ki tshirt mein sai hai vedantu se
Lekin peeche board mai vedantu bhi dikhai de rha hai top mai right side
Paise ka chakar Babu bhaiya paise ka chakkar
1:46:12 it should be root 3 not root 2
We love you sir ❤ thank you , aapse best teacher maths ke liye aaj tk koi nhi mila, aap best ho 💛
@@KaranKumar-yu4ih yaar inse accha koi nhi padha skta he's best
@@KaranKumar-yu4ih he teachers in English, better hota agar hinglish me padhate to
@@KaranKumar-yu4ih already mai Sachin sir pw or arvind sir se padh rhi hu, bss bhut h
@@KaranKumar-yu4ih haa , aajkal sab available online hi
Lgta hai abhi aap log legendary subham sir se nhi mile ho he is a very youngest and best maths teacher and no ine like him and no one can beat him ..
If you eant ti try search sumeetup you will find out who is he ..
Timestamps
00:00 - Introduction
01:50 - Nature of Chapter
04:35 - Basics of Logarithms
20:05 - Properties of Logarithms (Part 1)
01:11:05 - Properties of Logarithms (Part 2)
57:23 Sir why is the answer wrong when done like this:
X^(log x^2+(log x)^2-10)=x^-2
log x^2+(log x)^2-10=-2
Let log x be a
a^2+2a-8=0
And after solving this we get a=-4,2
And from here x is 9 and 1/81
Yes I also got the same answer
that's because its log of x square, not log x whole square
log(x^2) is NOT same as (log x)^2
@@Thanushh i still don't understand where it went wrong
50:58 Sir maine alag approach lagayi
First i converter log27 to the base 3 in 3log3 to the base 3...
then log3 to the base 3 becomes 1 and 2 + 3 = 5 then finally i converted logarithmic equation to exponential and it became
3^5=(4x+7)
same bruv
Thankyou jee nexus by unacademy and arvind sir for giving amazing content .My concept about logarithm has become clear❤❤
Sir what is the schedule for maths sessions and sir when will physics sessions start?
1:49:36 sir mistake waha root 2 nahi root 3 hoga 🙂
Bhay thanks mere 5min isi me waste hogaye
Ha
Baap re baap kya heavy padha rhe hai sir...Dil dimmag sb khul gaya..Majaa aa gaya....Sir aap problem solving sessions Lao na plz..Ye 11th aur 12 th ke concepts Mila ke...
1 like = 1 less 8-9th student yapping in the comments
Good that i am in 7th
Surprisingly this lecture is not boring at all😊
I’m in 9th grade this video helped me a lot thanks
1:46:21 error
It cancels to become root 3 and not root 2
So what is the solution?
@@PriyanshuGupta1803 9 is the answer
I love how sir respects every student❤
I think you are the best maths teacher now on yt
1:06:04 we could also take a fraction of all (two equations at a time) then calculate p and r in form of q and compare to any one of the equations and calculate p,q,r
for the one who didn't get question on 40:00 please search that on doubtnut your doubt will be cleared #not_promoting
Bhai tere promote Karne se bhi kya Hoga???
sir 40:15 par x=log⁴a
--------
log⁴a-log³a
Kaise aya samajh me nahi aaya😓😓
Sir Mujhe bhi nahin aaya pls Bata dijiye 😢
xlog3=(x-1)log4
xlog3= xlog3-log4
-log4= x(log3-log4)
x = log4/log4-log3
@@AbhaySingh-or5hx thik hai bhaiya but how you reached to step 2 from 1
Sir bas un students kai liye ache hey jou already smart or basics mey well and good hain... 🙂
Sooo true😭
@@pvrajesh3281 yess
in 48:45 shouldn't a+b = 10 becuase according to the property we multiply 5x2..i did not understand how we took a+b as 1. sir pls tell
Actually, a=log of 2 to the base 10 and b=log of 5 to the base 10 so according to the property, log 2 to the base + log 5 to the base 10= log of 10 to the base 10 which is 1. Therefore, a+b=1.
Hope you understand!
When you said bhai ke champions it directly hits me in the heart thank you sir for constantly motivating us . By the way I had done this question ( time span 37:09) within 15 sec 😊
On whole UA-cam there are only two teachers of maths Aarvind sir and Sachin sir
checkout tarun sir, u will thank me later
he teaches in arjuna jee
Sir ,Time 1hr 05 minute kya hum hcf leke bhi (p+q+r) ki value nikal sakte the?
can someone explain me the that transfer from lhs to rhs (39:10)
Jis side x hein udhar se ,x ko rhs mein bhej do then lcm break karo and x mil jaiga
sir tranfered it wrong i spent 30min wondering how he did that 😭😭😭😭
@@harshilbhardwaj989 I still didn't understood it. Can you please explain ?
@@harshilbhardwaj989 He did it right....
1:49:40 pe jo question hai usko simplify krne pr 4 answer a rha hai
Pr slide mai 9 likha hai 🙃?
How!??
Divide karne pe root 3 milega not root
45:30 whats what every student need~
sir 1:33:37 yaha par 1/ log x base 2 ko dono taraf kata ku nai??????
Kyunki agar katoge toh x = 1 aayega jiska matlab 1/ log x base 2 = 1/0 = Undefined...
Aur log 2 base x bhi undefined hoga kyunki base 1 nhi hosakta kabhi bhi logarithm ke definition ke baje se...
Esliye kaatne ka kuch fayda nhi, bina wajah ke undefined hojayega.
@@πΣυφ-μ2ξ but the value of t is also 0, which is also undefined in sense of log, so can't we directly cut it, as in both cases, we get undefined answers??
Nice explanation sir
SIR please explain what does koobsarat mean in 48:25
Sir jab aapka vedantu pe goodbye dekha tab laga ki shayad aapse padhne ka mauka na mile aur iss wajah se mai udaas thi, but sir , aap hamare liye fir se best content lekar aaye ❤ thank uu sir
😂
OP OP OP ... believe me I'm 23 ... thank you for helping me learning maths again.... Arvind sir OP❤
Thank you sir it was very helpful 😁
I am in class 10 and it has applications in chemistry and physics of class 10 foundation course
1:46:16 There should be √3 instead of √2 ....
Yes bro it is wrong
lovelyy lecture bhaii, dil khush kar diya 💗
57:25
Sir Why can't we directly compare the exponents?
same doubt
If you think like that then you don't need logarithm
@@gundellykomuraiah3157 Can you explain?
Cant we apply base change formula at 1:26:31 ?
At 40:14, how is it log4- log3?
Yes, brother mujhe bhi ye nhi samajh aaya .
Same
x log 3 = (x-1)log 4
x log 3 = x log 4 - log 4
x log 3 - x log 4 = - log 4
x (log 3 - log 4) = - log 4
x = ( -log 4) / (log 3 - log 4)
x = (log 4)) / (log 4 - log 3)
Sir ye question me logic bhi lag raha
Jaise p(p+q+r) = 48
q(___) = 12
r(-------) = 84
To kuch kuch ye 4 ke multiple lag rahe he answer me then p+q+r = 4
Therefore p= 12 q= 3 and r= 21
Please tell me am I right or wrong
©
15:25 yhaa blur kyuu kiya gyaaa? 🤔🤔
Nudity tha
@@narotam4370chehre pe?? Oo acha mask nahi pehna tha
Watching this for the fourth time for revision and did every single question correctly without any mistakes or having problem
Sir Aapne full fill la Diye log ka thanks u so much Basis se lakar Advanced tak ka # mera bhai mera bhai
Nhi bhai ye advance level tq nhi tha jee mains level tha subham sir ne liya hai advanced level ka content search sumeetup then you realize that it is low lable ..
Thank u so much guru ji
Good evening sir i am student of class 11 started prep for iit jee sir your oneshots of sets s log is very great sir can you also make oneshot or lecture on fundamentals of mathematics thankyou sir .
math me jyda pakad banana ho to masteer change krlo lo................
57:29 I solved without taking log, if a^b = a^c then either a = 1 or b = c so I solved both cases and substituted log3(x) as y and found its quadratic and found value of y and then found value of x I dont know how sir is getting cubic equation
40:20 how did you do with x-1
Plz solv
just open the bracket, take the terms with x to one side, take x common and divide the ones in bracket on both sides
Timestamps
00:00 - Introduction
01:50 - Nature of Chapter
04:35 - Basics of Logarithms
16:02 - Properties of Logarithms (Part 1)
01:06:40 - Properties of Logarithms (Part 2)
Bhai time waste mat kar
39:39 so where did x-1 go?
Log 4 ko usme multiply kr diya gya hai
Xlog3 = [x-1] log4
Xlog3 = xlog4 - log4
Xlog3 - xlog4 = -log4
X [ log3 - log4 ] = - log4
Dono side -1 se multiply kro
X [ log4 - log3 ] = log4
So x= log4 / log4 - log3 sir ne ise ek hee step Mei kr diya Tha 😅
@@cuteartcraft5503Thankuu so much❤
@@cuteartcraft5503 thanks bro
Tnku
Sir at 24:33 time oo problem hey na usme 5 tho 241 kaisa cancel kardiya sir muje samjme arehey hai
Can you please clarify this doubt
Same doubt
241 ko 5 se ÷ nahi kiya gya hai*
5 ko next aane Wale term 5/6 se and similarly 241 ko usse phle aane Wale term i.e 240/241 se cancel Kiya gya hai"
hope this will help 🛐
Agya @@SauravKumar_07
In questions 3^x=4^x-1, then x =
Isme x log↓a3 = (x-1)loga↓4
Me next step samjh nhi aaya sir
Please help me
Same bro
Such a nice lecture on log .. Thank you so much sir..😍
At 59:12...sabko t kese man lia? Kyuki ek kahi pe base a hai or kahi pe base 3 hai to sabko same kaise man lia.?.plz can anyone tell me
Same question bro
He corrects that mistake 2 mins after
Thank you sir for such a great lecture
Can u please help me solving
50^50/ 25^25 =?
It's 10^50
50^50/25^25
(2×25)^50/25^25
2^50×25^50/25^25
2^50×25^25×25^25/25^25
Cancel our 1 term
You will get
2^50×25^25
2^50×((5)^2)^25
2^50×5^50
(2×5)^50
10^50
Who's Shera ???
Sir's common name for every student
50:37 sir but iss jagah we can take log3 27 as 3 log 3.3....so 3 log 3.3will give 3+2 =log3(4x+7)........phir 3^5=4x+7?????
bhai maine bhi same kiya ans 59 aagya
Correction: 1:46:17 it should be root 3 not root 2
FINALLY SOMEONE!!! bhai I was doing this myself but Pata answer match hi nahi ho raha tha. Thank you so much
@@SAMIFY_pipduckgay same bro
Completed 💯
13:25 here the value of x will be =18/5
No
58/5 will be correct@@Lostsoul4U
greetings, sir. i just gave my ssc board exam and am a JEE aspirant. i was able to do the question at 1:46:45 on my own. thank you. you're a great teacher.
Sir hame online se bahar pahli baar Patna me aapko dekhne ka mauka Mila ❤hum khushi se jhum uthe the🎉❤❤❤❤
Very nice way of teaching .
I understood everything very well.
But sir 1:45:38 you did a mistake in this question resulting in wrong answer according to me❤
Kabi kabi mistake hote na
1:46:13 par sir root3 aayega kat ke not root2
Physics kab se shuru hoga
Best of luck for your exam🫡
Sir me 5th class me. Hu ....my mother is a student of IIT and my father is teacher in IIT they both are having huge experience that's why from they want me to study for knowledge not for marks ....so for knowledge I'm studing 12th 11 th class concept in 5th only basics one
Hope you will like it 🙂
dude what r u a child prodigy ?
Did you play?
You must discover your passion...and if you found study as a passion then study but after playing...
And in small chunks 👍
@@1o2redidk but comment mujhe realistic nahi laga uska
Jhootha... Hat be
i dont like it..jaha se paida hua wahaa wapis chala ja
1:46:19 it will be root 3 instead of root 2 and ans will be 9
7:44 bro is not da spiderman
How is it 25:10 241/5.
Bhai 1/5.......241/242hai
Applied maths wale ye video dekh sakte hain kya?
39:04 mai ye kesa kra kux smjh nhi aaya 😢😢
Bhai itna easy ni ara😂
Same😢
@@aniabhi07to phir bata de
1:46:19 sir the answers has to be root 3 to the power 4 I.e 9
Anyone from 10th class here??
As a 9th grader i have understood everything thing and able to do the que of jee adv
Bhai 10 ki trigo kar le pahle
@@Adityasingh-04 bro 9 ki garmi ki chutti me 10 th ka 75% sllybus hogya tha (only maths)
Jada din nahi tik paega competition me😂
Not being fake but my school is making us learn this in 9th 💀💀
What the....💀
Kyuki 9th me iska intro hota hai, 11 se application
No big deal hame bhi karwaya tha
My school is teaching from 7th 💀💀💀💀💀💀
@@mnvramesh5200hold my water bottle
From 1st standard ,I'm reading this ☠️☠️☠️
@@mnvramesh5200 6th B)
You're the teacher everyone deserves sir🫠
Sir I would you to say that
❤No doubt you are teaching very well ❤
🤌Can you use less this word ghatiy(घटिया) and ( बदसूरत )badsurt 🙏
Because I think in maths not anything ugly or useless
Maths isfull of beauty and usefull things are here
There coments ko koi bhi nahi dhekaga
Class 10 foundation wala kon hai
Sir I even think that, I don't know about this new channel, I know this because of recommendation. Since, I used to learn maths from vedantu PCM playlist.
Thank u sir for your love❤
Anyone nv sir students fell in love with arvid sir classes 😅
I do jee adv question in 2 min thanks Arvind Kalia Sir ❤❤🙏🙏
yes brother practice and better approach makes man perfect ....
thankyou sirrr for such a good lecture , getting all concepts more clear ❣❣❣
Is JEE 2025 aspirant here ??
🤝
Yes
Sir loved the lecture
But 1 question
I am in 11class 1 shot dekhne se sara chapter cover ho jaega?
Nhi
25:36 sir look like berlin
Sir aaap hamare jaise lecture ko phod diya....kya maja se padhathe ho aap....❤❤❤ thankyou
Best one shot on logarithm in whole UA-cam 😊😊