College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding: 98

Answer

$x=4$

Work Step by Step

RECALL: $\log_a{x}=y \longrightarrow a^y = x$ Use the rule above to obtain: $\log_5{625}=x \\\longrightarrow 5^x=625$ Note that $625=5^4$. Thus, the expression above is equivalent to: $5^x=5^4$ Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $x=4$
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