Evaluate logarithm without calculators
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- Опубліковано 16 гру 2020
- Evaluate logarithm without calculators
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bprp #shorts - Навчання та стиль
Literally discovered this rule *while* doing my last test on logarithmic functions
Did you have a question where you had to proof this or was it a byproduct?
@@theimmux3034 to be fair, it wouldn't have been difficult to prove it as it is a derivation of 2 previous log laws
It's great
Happens to me all the time 😂
@@jasnoor8-d-155 did you solve it?
Im assuming itd just be
P=P(1.08)^x
__________
2
When the students can do integrals in five seconds but can't remember the basic properties of logarithms that we learn in high school 👍
To be fair logs are more boring than integrals
@@kaaiplayspiano7200 true that
Logaritmos só é ensinado no 3° ano kkkkkkkkkk
@@kaaiplayspiano7200 to be fair, logarithmic counting is the natural way of human counting until we go to school and learn additive counting.
@@kalliboymusic depende de sua escola, na minha foi ensinado pela primeira vez no 9º ano se não me engano.
I was more concerned of how he changed from black pen to red pen
That means you don't know about his main channel
: Blackpenredpen
That's pen ninja techniques
Mee too
He hold 2 pens "black and red pen"
Same
This is one of the first rules we learned while taking logarithm
It's so basic, bruh
it isnt even that useful tho, the examples he just showed i did them by converting it to exponential form just fine in same time too, plus this is supposed to be a shortcut so yeah...
I didn't, I was taught to just change the base of the log to the number I need, not to do like this.
Same, we were taught the same
Log8(16)
Let log8(16)=x
Writing this in exponential form
8^x=16
2^3x=2⁴
3x=4
x=4/3
🙂
Can i ask why and how the base number (2) dissapear ?
@@abidzarawwalin759 Suppose you have (x^5)(x^6); how do you simplify that? Just remember that you’re counting factors.
x^5 = (x)(x)(x)(x)(x) and x^6 = (x)(x)(x)(x)(x)(x)
Now multiply them together:
(x^5)(x^6) = (x)(x)(x)(x)(x)(x)(x)(x)(x)(x)(x) = x11
Why x^11? Well, how many x’s are there? Five x factors from x^5, and six x factors from x^6, makes eleven x factors total. Can you see that whenever you multiply any two powers of the same base, you end up with a number of factors equal to the total of the two powers? In other words, when the bases are the same, you find the new power by just adding the exponents.
@@abidzarawwalin759
2^(3x) = 2^(4) has the same base, so we equate the two exponent (3x, 4) to find x
2 appeared because we need 8 and 16 to have the same base for us to get the exponent easier,
and because we're just finding the exponent, we dont need the base so we drop that
3x = 4
x = 4/3
@@abidzarawwalin759 we took log2 on both sides
Can I ask, where did you get the number 3?
Just started learning logs in school definitely gonna try use this
Man I can't express the insurmountable rage I feel when someone uses log to mean natural log
Thank you BPRP
What would you do to solve logarithms with a prime number base, using this rule?
I love your beard and your english 😂, ok, the math too 😂
And I love Your UA-cam channel which have 4 videos with zero subscriber😉😂😂😂
I love 💕 his short education videos!!!
Sir can u do an calculus series where u teach frm the basics
You're just awesome. You make videos with short length so that we can enjoy cool math tricks without wasting our time. Hats off to you.
Thank you,sir
what about log 2 to base 10
log 3 to base 10 , etc.
Omg thank you !! i completely forgot this rule existed 😭
there is nothing insane to this rule. Just 2 rules combined together, power of base is multiplied to the log as a reciprocal, and power of the component inside log function is multiplied to the log as it is/
I don’t think you’d really need this formula for the last two.
Excellent presentation of this rule, great examples chooses! Thank you
You're really good at this. ❤ Your videos have helped me relearn maths all over again and I'm grateful.
Problems in class: this.
Problems on the exam: Log_7(22), Ln(45), etc. No calc allowed 😐.
Ikr f it😂
Learning this 6 minutes before my test ✌🏽😭
Thanks Bro.Keep uploading such videos.
i love your content professor bprp
So helpful !!
Yeah seen that trick already from Indian Professor.
Why wouldn’t you just use change of base? After that you can use the laws of logs to be left with common logs and unique coefficients
Thank you so much
Wow thanks, I'm happy to learn this!!
You learn something new everyday
This is awesome mate thanks!
Thank you 😊
My great teacher forever
Damn dude you make it seem so simple.
I love the way you explained; so simple ✌️
Can you provide proof of this formula?
Bros using 1% of his power
omg thanks you sir for that easy method now i will ace my test
Wow i used to watch videos of him when he was young. He look like kong fu master now
Thank you so much sir😊
Quedaría
(bⁿ)^x = b^m
Aplicando potencia de una potencia:
b^(xn) = b^m
Por igualación de bases:
xn = m
x = m/n
English please? Literally everyone here is speaking english
@@sandorrclegane2307 Hahahahaha, no. I speak Spanish.
@@sandorrclegane2307 it is not hard to see that he is proving the property mentioned
It's derived from change of base theorem
Many negative comments, but I liked the video! Thank you for the effort you put into these!
thank you that was helpful.
I often convert these to exponential equations first but this is way quicker.
All is fun and game until common logarithms enters the chat.
Man u are very wise
Master IP of mathematics
Always blows my mind
This guy is genius. This property is brilliant
Thank youuuu
Nice one ! For all guys out there u can derive this using the other 2 log properties namely:
Logb^m=mlogb
Log base b^m=1/mlogb
Using these 2 we can easily derive this!
Hope it helps
Why not just make the number inside the log match the log base?
Just subscribed cause I need this type of content
Thanks a lot !
Omg thank you sm prof you saved me 💕
ln(2).... *cries
Mindblowing technique sir
Thank you sir
Thanks very much, make it more please...
How about when the numbers don’t mesh? (Example: log base 5 of 144)
mai bio ki student hu par chemistry numerical ke liye dekh le rhi hu
I like the way you hold ur pens
Great video sir
YOU'RE TELLING ME THAT THAT IS WHAT I'M JUST SUPPOSED TO DO! MY TEACHER DISCUSSED THAT IN 30 MINS AND I DID NOT UNDERSTAND ANYTHING
"Yeah but you didn't show your work"
Ok. Now do it with log_2(3)
Good job 👍
Help me with everything with logarithm
Nice fact: log_(a^m) (b^m) = log_a b
What about log 9 to the base 2?
Thanks❤❤❤❤❤❤
Omfg that’s beautiful!
Thanks
I find it funny that you teach this, when those of us old enough to remember slide rules and have text books with log tables learned this first! The calculator really did dumb down society.
more fundamentos please
Excellent video wonderful 😊😊😊😊❤❤❤❤
For the first one tho, for 16. It can me 4² though. How will we know which one to use??
And Indian students have to study this as the enter 11th grade 😑😑
What happens if the b values can't be written with the same base number? This rule won't work for those.
This got me to sub
Thank you...
Lifesaver 😭
Tried doing it with log base 3 of 8 cant find the awnser
And this, my children, is also known as the base changing theorem
I thought everyone knew this rule
Good job
I like your funny words, magic man
This is so cool
I used to solve these type of problems in class 5. Now in iit preparation i do complex log problems and graphs.
Can we use that property
And convert it to log to base 10
Then will be be able to find it easily using calculator
5°=1
ok, now calculate log_7(9)
great sir. .
That's the way indian teachers teach , i guess it's not so different in china as well
You are the coolest guy in the Internet!
I know nothing about logs. I'm just in class 10. But I learned this question 😂😂😂😂
our chemistry papers wants the value of log_10(31)
Why is it ^-2?
My sir skipped logarithm chapter during lock down on class 9 now im suffering i cant even do the easiest math of logarithm
3^-2?
0:10