Question 366595
{{{log(4,4^(x-1))=log(4,3^(2x))}}}
{{{x-1=log(4,3^(2x))}}}
{{{x-1=2x*log(4,(3))}}}
{{{x-2xlog(4,(3))=1}}}
{{{x(1-2log(4,3))=1}}}
{{{x=1/(1-2log(4,(3)))}}}
{{{x=1/(1-2*(log(10,(3))/log(10,(4))))}}}
{{{highlight(x=log(10,(4))/(log(10,(4))-2*(log(10,(3)))))}}}
or approximately,
{{{x=-1.7095}}}