This is an interesting question which I came across under **Additional Mathematics (A-Math)**:

Find the value of *x*.

Who is courageous to work on this question?

I will respond to this question when someone discusses about this question first :)

**Update**:

**(Apply Power Law)**

**(multiply by 4 on both sides of equal sign)**

**(Apply Power Law)**

**(Apply Quotient Law)**

**(Factorise)**

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths.
I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way.
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(log-baseX-root3)(log-baseX-root8)=1.5(log-baseX-1/root2)

(0.5log-baseX-3)(1.5log-baseX-2)=1.5(log-baseX-2^-0.5)

[cancel 1.5 from both sides]

(0.5log-baseX-3)(log-baseX-2)= -0.5(log-baseX-2)

[cancel 0.5 from both sides]

(log-baseX-3)(log-baseX-2) + (log-baseX-2)= 0

(log-baseX-2) (log-baseX-3 + 1) = 0

therefore,

(log-baseX-2)=0 or (log-baseX-3 + 1)=0

X^0= 2 (rejected) (log-baseX-3)= -1

X^(-1) = 3

thus X= 1/3

hope i didnt make any mistakes

Logarithm rocks! XDD

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awesome!

Tks for the effort.

Reply

Malakia chris Reply:

May 11th, 2011 at 5:12 pm

Hie you are just an amazing lady thanks for everything.i will chat with you next time,tell me about your place the temperature & the environment

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This question is fun. Perhaps, you will like to let your students to try to solve the question.

Solve the equation

(2/x)^(log n 4) - (3/x)^(log n 9) = 0

Regards,

ahm97sic

Reply

This is another interesting question. Perhaps, you will like to let your students to try to solve the question.

Solve (log a X)^(log b X) = X

where a, b are positive real numbers except 1, leave

the answer in terms of a and b.

Regards,

ahm97sic

Reply