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: 25

Answer

$x=-\frac{ln(3)}{2ln(5)}$

Work Step by Step

Taking the natural logarithm of each side and using the log rule $log(a^b)=blog(a)$ yields $$-2xln(5)=ln(3)$$ Dividing each side by $-2ln(5)$ gives $x=-\frac{ln(3)}{2ln(5)}$.
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