Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.3 Geometric Sequences; Geometric Series - 11.3 Assess Your Understanding - Page 847: 111

Answer

$\approx2.121$

Work Step by Step

We will use the change-of-base logarithmic formula such as: $ \log_a{b}=\dfrac{\log_c{b}}{\log_c{a}}$ Using a calculator, plug $a=7$ and $b=62$ in the above formula and use the natural logarithm (base $e$), then evaluating by a calculator: $\log_{7}{62}=\dfrac{\ln{62}}{\ln{7}}=2.12093 \approx2.121$
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