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: 46

Answer

$4$

Work Step by Step

RECALL: (i) $\log_b{M} - \log_b{N} = \log_b{\frac{M}{N}}.$ (ii) $\log_b{b^x}=x.$ Use rule (i) above with $M=405$ and $N=5$ to obtain $\log_3{\frac{405}{5}} \\=\log_3{81} \\=\log_3{3^4}.$ Use rule (ii) above to obtain $4.$
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