## Intermediate Algebra: Connecting Concepts through Application

The correct answer is $x = e^{2} - 2$.
$\ln (x+2) = 2$ $\ln_e (x+2) = 2$ $e^{2} = x + 2$ $e^{2} - 2 = x$ $x = e^{2} - 2$ The student thought that the base of the natural log function is $10$, when it actually is $e$. Therefore he/she was unable to find the correct answer.