Question 375800
Use the caret to signify an exponent. 3^(3x)={{{3^(3x)}}}
{{{3^(3x)=4*10^(x)}}}
{{{log(3,(3^(3x)))=log(3,(4*10^(x)))}}}
{{{3x=log(3,(4))+log(3,(10^(x)))}}}
{{{3x=log(3,(4))+x*log(3,(10))}}}
{{{3x-x*log(3,(10))=log(3,(4))}}}

{{{x(3-log(3,(10)))=log(3,(4))}}}
{{{highlight(x=log(3,(4))/(3-log(3,(10))))}}}

{{{x=log(10,(4))/(3*log(10,3)-log(10,(10)))}}}
{{{x=log(10,(4))/(3*log(10,3)-1))}}}
or approximately,
{{{x=1.3957}}}