Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises: 17

Answer

a) $$\ln1600$$ b) $$\ln({9x^{7/2}})$$

Work Step by Step

a) $2\ln5+3\ln4$ $=\ln{5^2}+\ln{4^3}$ $=\ln25+\ln64$ $=\ln({25\times64})$ $= \ln1600$ b) $5\ln{(x^{1/2})}+\ln{9x}$ $=\ln(x^{5/2})+\ln{9x}$ $=\ln{(x^{5/2} \times 9x)}$ $=\ln({9x^{7/2}})$
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