Answer
$81$
Work Step by Step
1. $log_{9}(x)+3log_3(x)=14 \Longrightarrow \frac{log(x)}{2log3}+\frac{log(x^3)}{log3}=14 \Longrightarrow log(x)+2log(x^3)=28log3 \Longrightarrow (x)^7=3^{28} \Longrightarrow x=81$
2. Check, $x=81$ fits.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.6 Logarithmic and Exponential Equations - 4.6 Assess Your Understanding - Page 338: 87
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