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 9.3 - Logarithmic Functions - Exercise Set: 74

Answer

$x=21$

Work Step by Step

RECALL: $\log_b{a}=y \longrightarrow b^y=a$ With $a=x+4$, $b=5$, and $y=2$, use the rule above to the given expression to obtain: $5^2=x+4 \\5(5)=x+4 \\25=x+4$ Subtract $4$ on both sides of the equation to obtain: $21=x$
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