Answer
$x=4$
Work Step by Step
We know that if $10^x=y$, then $\log{y}=x$ and vice versa.
Hence,
$\log(x+6)=1$ implies $x+6=10^1=10.$
Subtracting $6$ from each side gives:
$x+6-6=10-6\\
x=4$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 311: 6
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