(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Simplify x^(3logx2 - logx5) to find an exact numerical value.

2. Relevant equations

3. The attempt at a solution

3logx2=logx2^3 or logx8,

(logx8 - logx5)=logx8/5

the inverse would be x^y=8/5 (y is unknown)

therefore logx8/5=y and x^(logx8/5)=x^y=8/5

and the inverse of that would be logx8/5=logx8/5

(logx8/5)-(logx8/5)=0

rewriting it you get logx(8/5)/(8/5) or just logx1=0

once again the inverse would be 1=x^0 which tells me that x can be any given number.

Is this correct?

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# Homework Help: Logarithm simplification

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