Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1: 21

Answer

$x=4$

Work Step by Step

Using the log rule $log(a^b)=b \times log(a)$, the equation can be written as $$2xlog_{5}(5)=8$$ $log_{5}(5)$ is equal to $1$. Simplifying leaves $2x=8$, or $x=4$.
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