Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.5 - Exponential and Logarithmic Equations - Exercise Set: 53

Answer

$x\approx 20.67$

Work Step by Step

RECALL: $\log_b{x}= y \longrightarrow b^y=x$ Use the rule above to obtain: $4^{3}=3x+2 \\64=3x+2$ Subtract $2$ on both sides of the equation to obtain: $62=3x$ Divide $3$ on both sides of the equation to obtain: $\dfrac{62}{3} = x \\x \approx 20.67$
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