Question 609663
Solve {{{3^(8x)=23}}}.


First, take the log of both sides
{{{log(3^(8x))=log(23)}}}


Then move the exponent to the front of the log (it's a rule).
{{{8xlog(3)=log(23)}}}


Now isolate the x.
{{{8xlog(3)=log(23)}}}
{{{8x=(log(23))/(log(3))}}}
{{{x=(log(23))/8(log(3))}}}


That's the answer, unless you're allowed a calculator. If so, punch that into your calculator and you should get x=0.357