Question

Solve each equation.

$\ln (x+2)=5$

Short answer

The solution to the equation is$e^5-2$ .

Step-by-step solution

Step 1. Given Information.

Given equation is $\ln (x+2)=5$

Step 2. Calculation.

Simplifying the equation:

$\begin{array}{l}\ln (x+2)=5\\ x+2=e^5\\ x=e^5-2\end{array}$

Step 3. Conclusion.

Hence, the solution to the equation is$x=e^5-2$ .