How do you solve e^(-4x)+8=35?

Oct 1, 2016

$x = - 0.824$

Explanation:

${e}^{- 4 x} + 8 = 35$

$\Leftrightarrow {e}^{- 4 x} = 35 - 8 = 27$

Hence, $- 4 x = \ln 27 = 3.2958369$ from scientific calculator

$x = - \frac{3.2958369}{4} = - 0.824$