Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set - Page 590: 14

Answer

$x=\frac{3}{5}$

Work Step by Step

Use the product property for logarithms to have: $\log_3{(5x)}=1$ RECALL: $\log_a{b}=x \longrightarrow a^x=b$ Use this rule in converting the equation to its equivalent exponential equation to have: $3^1=5x \\3=5x \\\frac{3}{5}=x$
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