Question 173879
{{{log((15^(8x)))=log((53))}}}


But we know that {{{log(b,(x^n))=n*log(b,(x))}}}, so:


{{{8x*log((15))=log((53))}}}


Divide both sides by {{{8*log((15))}}}


{{{x=(log((53)))/(8*log((15)))}}}


That's the exact answer.  If you need a numerical approximation, dig out your scientific calculator.