Solve the Logarithmic Equation in TWO simple methods | Math Olympiad Training

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Solve the Logarithmic Equation in TWO simple methods | Math Olympiad Training

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[yasirhabib]

Sir thanks a lot for posting this video

[Nothingx]

East to west your second method is the best 👌 👍 😍

[allahlover]

I always try to watch all of your videosIt has increased my power of thinking in math.Allah bless you

[SuperYoonHo]

Wow gee! Thanks so much for the birthday gift man!!! Love it

[hassanmahdi]

شكرا لك، حلول مبسطة وسهلة يستطيع الطالب فهمها بسهولة دون اي معاناة.

[janakibhatta]

really a great teacher for improving the different concept of maths

[mohamedinsaf]

This problem has many ways to solve
I solved another two ways
Thanks for the lesson Sir

[anatoliy]

Very interesting task. And both methods of its solution are perfect. I even don`t know which of the two ones is better..Thank you so much, Mr PreMath! I wish you successful next week and in general all the best in your life!

[Ajay_Vector]

I've one more ways to solve this given problem☺️😊
Btw Thankyou sir🙏🏻🙏🏻for all your efforts.

[sandanadurair]

Second method is simple and straight forward one.

However the first one gives an opportunity to know about new logarithm identity

[DavisMaths]

Hi sir, it’s a fun and interesting question. As I tried to solve, I turned out finding another method, below is my method and steps:

Log base2 289= log base2 17^2= 2 log base2 17

By changing the base, we get:
2((log base17 17)/ (log base17 x)) = 2( 1 / log base17 x)

Since log base17 x = 8/9, we plug this result into our step:
2 ( 1 / (8/9)) = 9 /4

[devondevon]

log x 289 =9/4 or 2.25 ANSWER
17^8/9=x change to exponential form "equation 1"
x^n=289 change 'log x 289=? to exponential form (note n=?)
x^n=17^2
(x^n)^1/n= (17^2)1/n raised both sides by 1/n
x =17^2/n "equation 5"
17^8/9= 17^2/n since equation 1 and equation 5 = the same value, x
8/9= 2/n since both have the same base
8n=18 cross-multiply
n=9/4 or 2.25 answer

[math]

this was very well explained, thanks for sharing both methods

[itspi]

how to use white broad like u to do math plz tell me sir....

[susennath]

log 17 to the base x is equal to 9/8.

therefore ans

[Mylorz]

If you write the first equation as ln(x)/ln(17)=8/9 and the second as 2*ln(17)/ln(x) it becomes trivial since you get immediately 2*9/8=9/4

[davidbrisbane]

Given logₓ17 = 8/9.
Now logₓ17 =1/log₁₇x
⇒ 2*logₓ17 = logₓ17² = logₓ289 = 2/log₁₇x = 2*9/8
⇒ logₓ289 =9/4

[d.sambasivaraosivarao]

Both methods are good but the second is the easiest one

[AdityaKumar-gvdj]

Haha i just solved it in my mind. Lol. It was damn easy.