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: 39

Answer

$m \approx -2.926$

Work Step by Step

$3(4.6)^{2m+7} = 17.3$ $(4.6)^{2m+7} = \frac{17.3}{3}$ $2m + 7 = \log_{4.6} (\frac{17.3}{3})$ $2m = \frac{\log \frac{17.3}{3}}{\log 4.6} - 7$ $m = \frac{\frac{\log \frac{17.3}{3}}{\log 4.6} - 7}{2}$ by GDC / calculator $m = -2.92594...$ $m \approx -2.926$
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