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: 1

Answer

$x = 10,000$

Work Step by Step

$\log x = 4$ $\log_{10} x = 4$ $10^{4} = x$ $x = 10,000$ Check: $\log 10,000 \overset{?}{=} 4$ $\log 10^{4} \overset{?}{=} 4$ $\log_{10} 10^{4} \overset{?}{=} 4$ $4\log_{10} 10 \overset{?}{=} 4$ $4(1) \overset{?}{=} 4$ $4 = 4$
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