Question

Question 3
Solve In(x + 1) = 1.
A) X= 2
B) x = e + 1
C)x= e
D)x= e-1

Answer 1

D) x = e - 1

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra II

• Natural Logarithms ln and Euler's number e
• Solving logarithmic equations

Explanation:

Step 1: Define

Identify

`\displaystyle ln(x + 1) = 1`

Step 2: Solve for x

1. [Equality Property] e both sides:
   `\displaystyle e^(ln(x + 1)) = e^1`
2. Simplify:
   `\displaystyle x + 1 = e^1`
3. [Equality Property] Isolate x:
   `\displaystyle x = e - 1`