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 - Vocabulary, Readiness & Video Check - Page 590: 1

Answer

We use the logarithm property of equality to show $ln (4x-2) = ln 3$.

Work Step by Step

A natural log $ln$ is a log $log$ with base $e$. We rewrite $ln (4x-2) = ln 3$ as $log_e (4x-2) = log_e 3$. Since the logs have the same base, we can simplify this by using the logarithm property of equality. Thus, we have $4x-2=3$.
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