Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 469: 59

Answer

$-5$

Work Step by Step

$\log \left( x+25\right) =\log \left( x+10\right) +\log 4\Rightarrow \log \left( x+25\right) =\log \left[ \left( x+10\right) \times 4\right] \Rightarrow $ $x+25=4x+40\Rightarrow 3x=-15\Rightarrow x=-5$
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