Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 396: 63

Answer

$y=5^x$ (green) $y=212$ (blue) By observation of the graph: Solution: $x\approx3.285$. It is just a visual approximation. Algebraically: $x=3.328$
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Work Step by Step

$5^x=212$ $\log_55^x=\log_5212$ $x=\frac{\ln212}{\ln5}=3.328$
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