Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises: 15

Answer

x=-4

Work Step by Step

In an exponential function, a given value of x leads to exactly one value of $a^x$, thus we can rewrite the equation: $3^x=\frac{1}{81}= 3^{-4}$ ( $3^4=81$ and $a^{-x}=\frac{1}{a^x})$ $x=-4$
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