Answer
$19$
Work Step by Step
In order to simplify $\log_{6}6^{19}$ we will use properties:
$$\log_{a}a=1 \text{ and } \log_{a}M^{p}=p\cdot\log_{a}M$$
So
$$\log_{6}6^{19}=19\log_{6}6=19\cdot 1=19$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - Study Summary - Practice Exercises - Page 842: 10
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