Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.5 - Exponential and Logarithmic Equations - Exercise Set - Page 730: 135

Answer

It doesn't make sense

Work Step by Step

The statement doesn't make sense because we solve the two equations using different methods. For $2^x=15,$ since it cannot be written as a power of the same base, we use logarithm to solve for the exponential equation: $\log 2^x=\log 15$ $x\log 2=\log 15$ $x=\frac{\log 15}{\log 2}$ $x\approx 3.91$ For $2^x=16$, since it can be written as a power of the base, we solve by expressing exponential equations by expressing each side as a power of the same base. $2^x=2^4$ $x=4$
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