Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.5 - Logarithmic Functions - Exercise Set: 66

Answer

$x=7$

Work Step by Step

If $b$ is a real number, $b\gt0$, and $b\ne1$, then $b^{\log_{b^{x}}}=x$ (according to Property 3 on page 569). Therefore, $5^{log_{5^{7}}}=x=b^{\log_{b^{x}}}$, so $x=7$.
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