Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set: 59

Answer

$x\approx 20.67$

Work Step by Step

RECALL: $\log_b{x}=y \longrightarrow b^y=x$ Write the equation in exponential form using the rule above to obtain: $4^{3}=3x+2 \\64=3x+2$ Solve for $x$ to obtain: $\begin{array}{ccc} &64-2 &= &3x+2-2 \\&62&=&3x \\&\frac{62}{3} &= &x \\&x &\approx &20.67\end{array}$
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