Dude, you failed math at 03:00. In general, log(a) - log(b) ≠ log(a)/log(b) . Discard that line, and continue with log(a) - log(b) = log(a/b) . This is the 2nd video in which you failed miserably.
Using the base conversion rule, we have: log(27)/log(a) + log(4)/log(b) = 5; a, b > 0; a, b ≠ 1 log(3³)/log(a) + log(2²)/log(b) = 5 3*log(3)/log(a) + 2*log(2)/log(b) = 5 There's an infinite number of solutions. An obvious integer solution is a = 3, b = 2. But I can find many others, such as: a = 1/3, b = ⁴√2 a = √3, b = 1/4; a = 27, b = √2; b = 4, a = ⁴√27; ... If a = b, we have log(27*4) = log(a⁵), or a = b = ⁵√108 .
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You are the best teacher ever I like your teachings Mr sichamba
Whos watching fir jamb 2024 gather here
A best teacher with clear explanation may God bless your profession
God bless you 🙏 i need advice on how to study mathematics since i am at home Mr sichamba
You helped me a lot God bless you
❤❤ Namibia 🇳🇦
I've been watching your videos and they're really helpful 🤗
Sir you should do more of this we have it in college foundation of mathematics
I passed G12 because of your teaching and here am at a certain college again watching you
Sir i ❤thr way you teach
very nce explaination
Nice 👍
Good work
Thank you very much sir
God bless you sir, where do you live?
Thank you teacher godblessyou
hello sir its Deborah from Dream Chalom .. ive been following you and i watch your videos , they are really helpful
Thanks so much Deborah, call me on 0969175701
@jacobsichambaonlinemath5090 iam in Tanzania
My first time to see such a question😢😢
Why does the positive sign changes to negative
thank you very much sir 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
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Same here sir
My first time seeing this topic
Me too
Ok sir this topic even if it can come in my Gce exam I can fail 😂😂😂😂
How and why
2*x + 1 = 9*(3*x - 1), x > 1/3
10 = 25*x
x = 2/5 = 0.4
Dude, you failed math at 03:00. In general, log(a) - log(b) ≠ log(a)/log(b) . Discard that line, and continue with log(a) - log(b) = log(a/b) . This is the 2nd video in which you failed miserably.
What is this topic??
Go😂d job
This topic is new to me
The same here
@@blackwellmumbi3547me Matilda too
why repeat same line?
Am very confused sir which topic is this
Logarithms
😊😊
Kenya🇰🇪
Sir this is under which topic?
Logarithmic equation
Pls sir slove loga 27+ logb 4 = 5
Ans 5
Using the base conversion rule, we have:
log(27)/log(a) + log(4)/log(b) = 5; a, b > 0; a, b ≠ 1
log(3³)/log(a) + log(2²)/log(b) = 5
3*log(3)/log(a) + 2*log(2)/log(b) = 5
There's an infinite number of solutions. An obvious integer solution is a = 3, b = 2. But I can find many others, such as:
a = 1/3, b = ⁴√2
a = √3, b = 1/4;
a = 27, b = √2;
b = 4, a = ⁴√27;
...
If a = b, we have log(27*4) = log(a⁵), or a = b = ⁵√108 .
My way of solution ▶
log₃(2x+1)= 2+ log₃(3x-1)
log₃(2x+1) - log₃(3x-1) = 2
log₃ [(2x+1)/(3x-1)] = 2
3ˡᵒᵍ₃ [⁽²ˣ⁺¹⁾/⁽³ˣ⁻¹⁾] = 3²
(2x+1)/(3x-1)= 9
27x-9= 2x+1
25x= 9+1
25x= 10
x= 10/25
x= 2/5
Correction examination for 2024
O .k
O.K.
=>2x+1/(3x-1)=9=>27x-9=2x+1=>25x=10=>x=10/25=0.4 ans
Too long
Fanya fupi
That's what she said!