College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.6 - Logarithmic and Exponential Equations - 6.6 Assess Your Understanding: 7

Answer

$x=\frac{16}{5} = 3.2$

Work Step by Step

RECALL: $\log_a{x} = y \longrightarrow a^y=x$ Use the rule above to obtain: $\log_2{(5x)} = 4 \\\longrightarrow 2^4=5x \\16=5x \\\frac{16}{5}=x \\x=\frac{16}{5} = 3.2$
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