Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 469: 32

Answer

$\{ 9.095\}$

Work Step by Step

Step 1. Rewrite the equation as $3(1.4)^x=64$ or $(1.4)^x=\frac{64}{3}$ Step 2. Take natural logarithm on both sides to get $x\ ln(1.4)=ln\frac{64}{3}$, thus $x=\frac{ln\frac{64}{3}}{ ln(1.4)}\approx9.095$ Step 3. Write answer in set form $\{ 9.095\}$
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