Algebra 2 Common Core

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

Chapter 7 - Exponential and Logarithmic Functions - 7-5 Exponential and Logarithmic Equations - Practice and Problem-Solving Exercises - Page 476: 98

Answer

$\log_2{3}$

Work Step by Step

Recall: $$\log_a{b}-\log_a{c}=\log_a{(bc)}$$ Use the rule above to obtain: \begin{align*} \log_2{15}-\log_2{5}&=\log_2{\left(\frac{15}{5}\right)}\\\\ &=\log_2{3} \end{align*}
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