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: 7

Answer

$1-\log_{7}{x}$

Work Step by Step

RECALL: (i) $\log_b{\frac{M}{N}}=\log_b{M} - \log_b{N}$ (Quotient Rule). (ii) $\log{x}=\log_{10}{x}.$ (iii) $\log_b{b}=1.$ Use the quotient rule with $M=7$ and $N=x$ to obtain $\log_7{7} - \log_7{x}.$ Use rule (iii) above to obtain $1-\log_{7}{x}.$
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