Question 602511
{{{4^(1-x)=8}}}


{{{(2^2)^(1-x)=2^3}}}


{{{2^(2(1-x))=2^3}}}


Since the bases are equal, the exponents are equal.


{{{2(1-x)=3}}}


{{{2-2x=3}}}


{{{-2x=3-2}}}


{{{-2x=1}}}


{{{x=1/(-2)}}}


{{{x=-1/2}}}



So the solution is {{{x=-1/2}}}