Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.3 - Logarithmic Functions - 9.3 Exercises: 41

Answer

1.6990

Work Step by Step

For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$. Therefore, $log(50)=x$ means the same as $10^{x}=50$. By using a calculator to approximate, we know that $x=1.6990$, because $10^{1.6990}=50$. Recall that a logarithmic function in the form $log(x)$ is a common logarithm with an understood base of 10.
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