Question

Solve the equation below for x.

Answer 1

x=-9ln(1/2)/[ln(4)-ln(1/2)]

Explanation:

4^{x}=(1/2)^{x-9}

ln(4^{x})=ln((1/2)^{x-9})

xln(4)=(x-9)ln(1/2)

xln(4)=xln(1/2)-9ln(1/2)

xln(4)-xln(1/2)=-9ln(1/2)

x[ln(4)-ln(1/2)]=-9ln(1/2)

x=-9ln(1/2)/[ln(4)-ln(1/2)]