Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set: 15

Answer

{$11$}

Work Step by Step

$\log_{2} (x+5)=4$ $x+5=2^{4}$ $x+5=16$ $x=16-5=11$ Checking the answer by inserting it in the original equation: $\log_{2} (11+5)=4$ $\log_{2} (16)=4$ $\log_{2} 2^{4}=4$ $\log_{2} 2^{4}=4$ $4\log_{2} 2=4$ $4=4$ Therefore, the solution set is {$11$}.
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