Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Skill Practice - Page 520: 20

Answer

$-2.09$

Work Step by Step

$0.5^x-0.25=4$ (Add both sides with $0.25$) $0.5^x=4.25$ (Use the property $a^x=y\Leftrightarrow x=\log_a y$) $x=\log_{0.5}4.25$ (Compute the value of $x$) $x=-2.087462....$ $x\approx -2.09$
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