College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Concept Check: 67

Answer

$x=-15 $

Work Step by Step

RECALL: $\log_a{b} = y \longrightarrow a^y=b$ Use the rule above to obtain: $\log_2{(1-x)}=4 \\\longrightarrow 2^4 = 1-x \\16=1-x$ Subtract $1$ on both sides of the equation to obtain: $16-1=-x \\15=-x$ Multiply $-1$ on both sides of the equation to obtain: $-15 =x $
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