Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set: 12

Answer

$3−\log_5{y}$

Work Step by Step

RECALL: (1) $\log_b{\frac{M}{N}}=\log_b{M}-\log_b{N}$ (2) $\log_b{(b^x)}=x$ Use rule (1) above with $M=125$ and $N=y$ to obtain $=\log_5{125}-\log_5{y} \\=\log_5{(5^3)}-\log_5{y}$. Simplify the first term by using rule (2) above to obtain $=3−\log_5{y}$
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