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 4.6 Logarithmic and Exponential Equations - 4.6 Assess Your Understanding - Page 337: 7



Work Step by Step

The domain of the variable requires that $5x>0$ $\therefore x>0$ Recall: $y = \log_a b \text{ is equivalent to } b=a^y$ Thus, $\log_2 (5x) = 4 \text{ is equivalent to } 5x = 2^4$ Solve the equation to obtain: $5x = 2^4$ $5x = 16$ $x=\boxed{\frac{16}{5}}$
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