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: 60

Answer

$x=7.75$

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: $2^{5}=4x+1 \\32=4x+1$ Solve for $x$ to obtain: $\begin{array}{ccc} &32-1&= &4x+1-1 \\&31&=&4x \\&\frac{31}{4} &= &x \\&x &=&7.75\end{array}$
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