Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.6 Solving Logarithmic Equations - 6.6 Exercises: 6

Answer

$x = 12$

Work Step by Step

$\log_6 (3x) = 2$ $6^{2} = 3x$ $36 = 3x$ $x = 12$ Check: $\log_6 (3(12)) \overset{?}{=} 2$ $\log_6 (36) \overset{?}{=} 2$ $\log_6 (6^{2}) \overset{?}{=} 2$ $2 = 2$
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