Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - Exercises to Skills for Chapter 5 - Page 232: 27



Work Step by Step

Use the fact that $\log a^b=b\log a$ to simplify. $$\frac{1}{2}\log x=\log x^{\frac{1}{2}}=\log \sqrt{x}$$ $$4 \log y = \log y^4$$ Finally, use the fact that $\log(ab)=\log(a)+\log(b)$ to simplify the expression to $$\log \sqrt{x}+\log y^4=\log(y^4\sqrt{x})$$
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