Question 925430

{{{(1/2)^(1-x)=16}}}....since {{{(1/2)^(1-x)=2^(x-1)}}}, we have


{{{2^(x-1)=16}}}

{{{2^(x-1)=2^4}}}...since base same, exponents must be same too

{{{x-1=4}}}

{{{x=4+1}}}

{{{x=5}}}