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

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 322: 90

Answer

$\dfrac{11}{3}$

Work Step by Step

$\because y=\log_a x \text{ is equivalent to } x= a^y$ $\therefore 2 = \log_3 {(3x-2)} \text{ is equivalent to } 3x-2=3^2$ Solve the equation to obtain: $$3x-2=3^2$$ $$3x-2=9$$ $$3x=11$$ $$x=\dfrac{11}{3}$$
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