## Intermediate Algebra for College Students (7th Edition)

The answer is $2.97$.
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. $x=2.97$.