Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 466: 133

Answer

See graph and explanations.
1585590811

Work Step by Step

a. We can graph both $f(x)=ln(3x)$ and $g(x)=ln3+ln(x)$ (red) as shown in the figure; it appears that they are identical. b. We can graph both $f(x)=ln(5x^2)$ and $g(x)=ln5+ln(x^2)$ (blue) as shown in the figure; it appears that they are identical. c. We can graph both $f(x)=ln(2x^3)$ and $g(x)=ln2+ln(x^3)$ (green) as shown in the figure; it appears that they are identical. d. We can observe from parts (a)-(c) that the two corresponding functions are identical or equivalent, which means that $log_b(MN)=log_b(M)+log_b(N)$ e. We can complete the statement as: The logarithm of a product is equal to the sum of the logarithms of each factor.
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