Question

Solve this equation for x. Round your answer to the nearest hundredth.
8 = In(x + 3) ​

Answer 1

Answer:

2977.96 =x

Step-by-step explanation:

8 = In(x + 3) ​

Raise each side to the base of e

e^8 = e^ ln(x+3)

e^8 = x+3

Subtract 3 from each side

e^8  -3 = x+3-3

e^8    -3= x

2977.95798 = x

Rounding to the nearest hundredth

2977.96 =x

Answer 2

Answer:

$\displaystyle x = 2977.96$

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra II

• Natural logarithms ln and Euler's number e

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 8 = ln(x + 3)$

Step 2: Solve for x

1. [Equality Properties] e both sides:                                                                   $\displaystyle e^8 = e^{ln(x + 3)}$
2. Simplify:                                                                                                             $\displaystyle x + 3 = e^8$
3. [Equality Property] Subtract 3 on both sides:                                                 $\displaystyle x = e^8 - 3$
4. Evaluate:                                                                                                            $\displaystyle x = 2977.96$