College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.3 - Exponential Functions - 6.3 Assess Your Understanding: 79

Answer

$x = -4$

Work Step by Step

The two sides have the same base. Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $x=3x+8$ Subtract $3x$ to both sides of the equation to obtain: $\begin{array}{ccc} &3-3x &= &3x+8-3x \\&-2x &= &8 \end{array}$ Divide by $-2$ to both sides of the equation to obtain: $\dfrac{-2x}{-2} = \dfrac{8}{-2} \\x = -4$
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