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: 46

Answer

$3-10^{\frac {3}{4}}=3-\sqrt [4] {1000} $

Work Step by Step

$\log \left( 3-x\right) =0.75\Rightarrow \log _{10}\left( 3-x\right) =0.75\Rightarrow 3-x=10^{0.75}\Rightarrow 3-x=10^{\frac {3}{4}}\Rightarrow x=3-10^{\frac {3}{4}}=3-\sqrt [4] {1000} $
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