Question

Solve this equation for x. Round your answer to the nearest hundredth. 1 = In(x + 7) ​

Answer 1

Answer:

$\displaystyle x \approx -4.28$

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

$\displaystyle 1 = ln(x + 7)$

Step 2: Solve for x

1. [Equality Property] e both sides:                                                                     $\displaystyle e^1 = e^{ln(x + 7)}$
2. Simplify:                                                                                                             $\displaystyle x + 7 = e$
3. [Equality Property] Isolate x:                                                                            $\displaystyle x = e - 7$
4. Evaluate:                                                                                                            $\displaystyle x = -4.28172$

Answer 2

e^1 = x+7

e - 7 = x

x = -4.28