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

Published by Pearson

# Chapter 5 - Trigonometric Functions - Section 5.3 Properties of the Trigonometric Functions - 5.3 Assess Your Understanding - Page 420: 139

#### Answer

$x=\ln{6}+4$

#### Work Step by Step

Take the natural logarithm of both sides of the equation to obtain:. $$\ln e^{(x-4)}=\ln{6}$$ Using the properties $\ln a^{m} = m\ln{a}$ and $\ln{e}=1$ yields $$(x-4) \ln{e}=\ln{6}\\ (x-4)(1)=\ln{6}\\ x-4=\ln{6}\\ x=\ln{6}+4$$

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