Question 369149
{{{5^(x-1)=3^(2x)}}}
{{{x-1=log(5,(3^(2x)))}}}
{{{x-1=2x*log(5,(3))}}}
{{{2x*log(5,(3))-x=-1}}}
{{{x(2*log(5,(3))-1)=-1}}}
{{{highlight(x=1/(1-2*log(5,(3))))}}}
or approximately,
{{{x=-2.738}}}