Answer
$81$
Work Step by Step
Step 1. Rewrite the equation $\frac{ln(x)}{ln3^2}+\frac{3ln(x)}{ln3}=14 \longrightarrow ln(x)+6ln(x)=28ln3 \longrightarrow ln(x)=4ln3 \longrightarrow x=3^4=81$
Step 2. Check, $x=81$ fits the original equation.
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 312: 86
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