Answer
$x=\frac{13}{12}$
Work Step by Step
$\log_{5}(x+1)-\log_{5}(x-1)=2$
$\log_{5}(\frac{x+1}{x-1})=2$
$5^2=\frac{x+1}{x-1}$
$25(x-1)=x+1$
$25x-25=x+1$
$24x=26$
$x=\frac{26}{24}=\frac{13}{12}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 404: 67
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