Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 75

Answer

Since 79 is between 10 and 100, that is, between $10^{1}$ and $10^{2}$, its common logarithm is between 1 and 2.

Work Step by Step

$\log x$ (written without a base) is the common logarithm, with base 10. $\log 10=1$, because $10^{1}=10,$ $\log 100=2$, because $10^{2}=100,$ so since 79 is between 10 and 100, that is, between $10^{1}$ and $10^{2}$, its common logarithm is between 1 and 2.
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