Solve the following exponential equation Express pi1 x e2x

Solve the following exponential equation. Express pi^1 - x = e^2x. What is the exact answer? Select the correct

Solution

pi^(1 - x )= e^(2x)
Take (ln) both sides
ln pi ^(1-x) = 2x
(1-x) ln pi =2 x
ln(pi) - x ln(pi)=2 x

ln(pi) = 2 x + xln(pi)
ln(pi) = x (2 + ln (pi))
x = ln(pi) / (2 +ln (pi))