Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 387: 93


False. $f(x-2)\ne f(x)-f(2)$

Work Step by Step

$f(x)-f(2)=\ln x-\ln 2$ Using the Quotient Property: $f(x)-f(2)=\ln x-\ln 2=\ln\frac{x}{2}=f(\frac{x}{2})$ Due to the One-to-One Property: $\ln a=\ln b$ if and only if $a=b$ So: $f(x-2)\ne f(\frac{x}{2})=f(x)-f(2)$
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