### Home > PC3 > Chapter 9 > Lesson 9.1.4 > Problem9-92

9-92.

Solve for the exact value of $x$ without using a calculator.

1. $3e^x − 5 = 13$

1. Add $5$ to both sides.
2. Divide by $3$ on both sides.
3. Take the natural log of both sides.
4. Solve for $x$.

1. $\text{ln}(x + 1) = 3.2$

$e^{3.2} = x + 1$