Answer
$x=\pm1.6212$
Work Step by Step
Given Expression
$e^{x^4}=1000$
Take natural log of both sides.
$\ln{e^{x^4}}=\ln1000$
Use the definition of a natural log and Power Rule of logarithms.
$x^4=\ln1000$
Solve for $x$.
$x=\pm\sqrt[4]{\ln1000}$
$x=\pm1.6212$
