Question 624380
{{{4^(x-2)=3^(2x)}}}


{{{ln(4^(x-2))=ln(3^(2x))}}}


{{{(x-2)ln(4)=2x*ln(3)}}}


{{{x*ln(4)-2*ln(4)=2x*ln(3)}}}


{{{-2*ln(4)=2x*ln(3)-x*ln(4)}}}


{{{-2*ln(4)=x(2*ln(3)-ln(4))}}}


{{{(-2*ln(4))/(2*ln(3)-ln(4))=x}}}


{{{x = (-2*ln(4))/(2*ln(3)-ln(4))}}}


{{{x = -3.419}}}


So the answer is roughly {{{x = -3.419}}}