Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Skill Practice - Page 520: 46

Answer

The exponential function ($e$) only cancels out natural logarithms.

Work Step by Step

Using the rules of logarithms to solve the equation, we find: $$\log _3\left(10x\right)=\log _3\left(243\right) \\ 10x=243 \\ x=24.3$$
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