Question 631302
 {{{4^(3x)=10}}} take the log base 4 of both sides of an equation
 {{{log(4,4^(3x))=log(4,10)}}}
Use the log rule 
{{{log(b,a^n)=n*log(b,a)}}}
{{{log(a,a)=1}}}
.
{{{log(4,4^(3x))=log(4,10)}}}
{{{3x=log(4,10)}}} divide by 3
{{{x=log(4,10)/3}}}