College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.3 - Page 477: 81

Answer

The graph of this function is:

Work Step by Step

$y=\log_{2}(x+2)$ The change of base formula is: $\log_{b}M=\dfrac{\log_{a}M}{\log_{a}b}$ Express the logarithm given as a common logarithm by using the change of base formula shown to change the base of this logarithm to $10$: $\log_{2}(x+2)=\dfrac{\log(x+2)}{\log2}$ The function now is: $y=\dfrac{\log(x+2)}{\log2}$ The graph of this function is:
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