Answer
The answer is $2.97$.
Work Step by Step
The given equation is
$30e^{0.7x}=240$
Divide both sides by $30$
$\frac{30e^{0.7x}}{30}=\frac{240}{30}$
$e^{0.7x}=8$
Take $\ln$ both sides.
$\ln e^{0.7x}=\ln 8$
By using property of logarithms $\ln e^x=x$
$0.7x=\ln 8$
$x=\frac{\ln 8}{0.7}$
$x=2.97063077383$
Rounded to the nearest two decimal places.
$x=2.97$.
