Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.5 Solving Exponential Equations - 6.5 Exercises: 22

Answer

$x \approx 7.055$

Work Step by Step

$81000 (\frac{1}{9})^{x} = 0.015$ $(\frac{1}{9})^{x} = \frac{0.015}{81000}$ $x = \log_{\frac{1}{9}} (\frac{0.015}{81000})$ $x = \frac{\log \frac{0.015}{81000}}{\log \frac{1}{9}}$ by GDC / calculator $x = 7.055223...$ $x \approx 7.055$
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