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 - Lesson Check - Page 473: 3

Answer

$x=25$

Work Step by Step

We are asked to solve: $\log{4x}=2$ Recall the definition of a logarithm (pg. 451): $\log_{b}{x}=y$ iff $b^y=x$ Applying this definition to our equation (with $b=10, y=2, x=4x$), we get: $10^2=4x$ $100=4x$ $x=\frac{100}{4}$ $x=25$
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