## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson

# Chapter 4 - Exponential and Logarithmic Functions - Section 4.6 Logarithmic and Exponential Equations - 4.6 Assess Your Understanding - Page 337: 10

#### Answer

$0$

#### Work Step by Step

The domain of the variable requires that $2x+3>0$ $\therefore x>-\dfrac{3}{2}$ Recall: $\text{If } \log_a M = \log_a N \text{, then } M=N$. Use the rule above to obtain: $2x+3 =3$ Solve the equation to obtain: $2x+3=3 \\ 2x=3-3 \\ 2x = 0 \\ x=0$

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