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

Sagot :

Space

Answer:

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

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle ln(x + 1) = 1[/tex]

Step 2: Solve for x

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