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: 97

Answer

$x=\frac{9}{5}$

Work Step by Step

If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$. Therefore, $log_{7}(5x-2)=1$ is equivalent to $7^{1}=7=5x-2$. For $7=5x-2$, add 2 to both sides. $5x=9$ Divide both sides by 5. $x=\frac{9}{5}$
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