Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 7 - Applications of Trigonometric Functions - Section 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves - 7.5 Assess Your Understanding - Page 577: 67

Answer

$x=4$

Work Step by Step

$log(x+1)+log(x-2)=1$, $log[(x+1)(x-2)]=1$, $log(x^2-x-2)=1$, $x^2-x-2=10^1$, $x^2-x-12=0$, $(x+3)(x-4)=0$, $x=-3, 4$, check, only $x=4$ fits.
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