Logarithmic Equations

To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable.
Example: if log₂x=3, in exponetial form: 2³=x. therefore x = 8
To Check: You can substitute x=8 in the main equation to find out if it true.
log₂8 = 3
#Logarithms #Equations #Functions
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[@josephmomohlebbie4062]

Thank you very much sir, today I started to study logarithms so thank you for your great help

[@MohammedKamara-x8n]

Thanks very much sir please sir explain the questions properly because I never liked mathematics but you have make it possible for me

[@habibanuhu3324]

Thank you for teaching me logarithm

[@tambuwalmathsclass]

👍👍

[@MhizEsther-ux1bj]

Thank you for teaching me logarithm now am ready for my general math exam

[@OkechukwuPrecious-nv8nd]

Thanks sir. I now understand logarithm better 😊.

[@swabrahswabi1334]

Wow u a such an amazing teacher thanks for teaching me logarithms

[@tambuwalmathsclass]

Thank you

[@ZachariaSesay]

Thanks 👍 very much I really appreciate you teaching

[@yusufk1689]

This is awesome! God bless you brother!

[@justforlaughscomedy9753]

Best and easy to understand

[@ElizabethNyakong]

Thank you so much sir, you really make me understand logarithms better thank for your help 🙏

[@muntasirahmed8715]

Best teacher 👌

[@tambuwalmathsclass]

Thank you

[@gracedickson8624]

Pls Sir in equation one where did the 3x + 2 come from

[@quadriolashubomi6208]

Best teaching ever keep it up 🌹🌹🌹🌹

[@tambuwalmathsclass]

Thank you 🙏

[@NijimbereDomithile-uu4pk]

Thank U xo much. Be blessed

[@joyajie6404]

Clear teaching. Thanks sir

[@tambuwalmathsclass]

I appreciate it

[@DawamDemian]

Good lecture ❤

[@OusmanKDrammeh]

Thanks a bunch sir

[@laminkamara6013]

Thanks for this topic

[@oliviangesheya3530]

Evening our professional teacher,,may you please help me at that part of cross multiplication,, like in the first examples I don't know where you get 3x.your videos are well explained and your formulas are easy to understand.i am at university but I don't get my lecturer when teaching but when I watched your videos everything is okay..be blessed sir..

[@OnielNelson-w8s]

I agree with you

[@LUCKYSINYINZA-cd1pk]

Mr sir you teach ver well (excellent presentation) but I don't understand where (1/2) to the power 3 came from on equation 3

[@JaniceReid_Kosbare]

Initially, the question has 4 to the power 3/2. Another way to write 3/2 is 1/2 multiplied by 3. All he did was split the power. Thus, 4 to the power 3/2 can be rewritten as 4 to the power (1/2) × (3). This leaves us with 4 to the power (1/2), or the root of 4, which is 2, which further simplifies to 2 to the power 3, being 8. Hope that helps.

[@PrettyGiftlove-g4n]

Thank you sir but I didn't get number 3 quite well

[@DivinefavourUchendu-dt1rl]

Youre too much ❤❤😊

[@ebhoayefavourab12cd3]

Thank you very much sir

[@ebhoayefavourab12cd3]

Sir please help me solve this question 😢
Log3 to base x + log9 to base x =2

[@tambuwalmathsclass]

log(3*9) to base x =2
log(27) to base x = 2
x²=27
x=√27 or 3√3

[@ezepaul9935]

Please sir
I don't understand how you do that cross multiplication 🙏🙏
Your maths tutorial has really helped me And may God bless you so much 💞🎉😊

[@JaniceReid_Kosbare]

Which question are you referring to?

[@mubitanosiku2904]

You're such a good math teacher I've ever across on UA-cam you really helped me to understand this topic thank so much ❤❤

[@tambuwalmathsclass]

I appreciate it 🙏

[@MncedisiNkwanyana-t1z]

Best🎉

[@ndasindum7147]

Thank you sir.please I have A question can I ask

[@nenehgalleh5031]

Thanks a lot grap that one, cap 🧢

[@MusaSanyang-jg6ih]

How is 1.5 equals to 15÷10

[@phonewebdevs3667]

15÷10 =1.5
Converting fractions to decimal

[@BaahKwaku-ds5nk]

Pls i want to teach probability repllacement and without replacement

[@lameckkasalika7118]

Question 2 how did you come up with the negative x squared 🤔 towards the end

[@JaniceReid_Kosbare]

He subtracted x^2 from both sides to get 9x^2

[@ShuaibAbaya]

You are awesome sir thank you,and then how can someone solve this log10(2x+1)-log10(3x-2)=1

[@tambuwalmathsclass]

log[(2x+1)/(3x-2)]=1
10¹=(2x+1)/(3x-2)
10(3x-2)=2x+1
30x-20=2x+1
30x-2x=1+20
28x=21
x=21/28
x=3/4

[@DivineFlames21]

What if the bases are different

[@OscarKitimbo-tu1xb]

Can I get linear programming lessons pliz anyway gd teacher

[@tambuwalmathsclass]

I haven't prepared any

[@esimonezegiovanni]

thanks a lot tho

[@Lhy_rics-xq5qr]

powerful

[@justinabello237]

I m not getting this example u are solving

[@JoshuaNuma]

Pls
why did you divide it by -x² in question 2

[@JaniceReid_Kosbare]

He subtracted -x^2 from both sides. So,10x^2 - x^2 = 9x^2

[@portiadzah2461]

Infact you teach very well but it’s not every step that you explain. The question 3 u did some calculations to make the fraction go but didn’t explain that point, where the 1/2 came from???

[@emmanueltettey809]

Yh I'm also asking maself how he got 2 exponent 3

[@JaniceReid_Kosbare]

Initially, the question has 4 to the power 3/2. Another way to write 3/2 is 1/2 multiplied by 3. All he did was split the power. Thus, 4 to the power 3/2 can be rewritten as 4 to the power (1/2) × (3). This leaves us with 4 to the power (1/2), or the root of 4, which is 2, which further simplifies to 2 to the power 3, being 8. Hope that helps.

[@AzavuGloria]

Sir please I just joined your class
Please the first question how do we get x²=x squared=3x+2 how do we get the +2

[@JaniceReid_Kosbare]

He multiplied (x-2) by (x-1). By expanding the brackets, the result is (x*x) + (x*[-1]) + ([-2]*x) + ([-2]*[-1]) = (x^2) + (-x) + (-2x) + (3) = x^2 -3x + 2

[@offiongessien7217]

Please sir how did you get the 3

[@JaniceReid_Kosbare]

Which question are you referring to?

[@mishaeladepoju7089]

i dont understand the last 2 examples

[@koffisiekouadiocharles1554]

Sir plus i don't understand thé way you did it in thé first question,you will not cross multiply

[@LinoDhalJong]

Log 5 x

[@enobongumoetuk7148]

U teach abit fast but i understand the whole topic

[@AbiodunIsrael-ck2gm]

I don't understand number 2 how did you get 9x squared

[@JaniceReid_Kosbare]

10x^2 - x^2 = 9x^2

[@dorcaskampinda5661]

The question is not clear sir

[@EbrimaOBah]

You're awesome... I just wanted to know, when do we have to think of letting a letter to stand for an expression?

[@ridwanscretivepibricate5449]

As you are bahaushe pls we need a lecture in hausa

[@abubakarfadila4317]

I don’t understand 😭😭😭

[@tambuwalmathsclass]

😥😥

[@abubakarfadila4317]

I don’t understand 😭😭😭