Answer
$277.2589$
Work Step by Step
Re-arrange as: $ e^{0.005x}=4$
We need to take $\ln $ of each side of the equation.
$\ln e^{0.005x} =\ln 4$
Simplify it by applying rule $\log{a^n}=n \log x $ to obtain:
$ 0.005x= \ln 1.4$
This implies that
$ x = \dfrac{\ln 4}{0.005} \approx 277.2589$
