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

Express 2log[tex]_{2}X[/tex]=1+log[tex]_{a}(7X-10a)[/tex] find x in terms of a.

i wondering if there is other methods to solve aside from completing the sq.

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

I got x²-7ax+10a²=0

(x-[tex]\frac{7a}{2}[/tex])²-10a²-([tex]\frac{7a}{2}[/tex])²=0

x-[tex]\frac{7a}{2}[/tex]=±[tex]\frac{3a}{2}[/tex]

x=5a or x=2a

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# Homework Help: Logarithm equation

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