Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - Chapter Test - Page 491: 28

Answer

$\dfrac{\log{10}}{\log2}$

Work Step by Step

Recall: Change of Base Formula: $$\log_a{b} = \dfrac{\log_c{b}}{\log_c{a}}$$: The common logarithm has $c=10$ so the formula above becomes $$\log_a{b}=\dfrac{\log{b}}{\log{a}}$$ Thus, when written using common logarithms, the given expression is equivalent to: $$=\dfrac{\log{10}}{\log2}$$
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