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 - Page 436: 80

Answer

$x = \dfrac{1}{2}$

Work Step by Step

The two sides have the same base. Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $3x=2-x$ Add $x$ to both sides of the equation to obtain: $\begin{array}{ccc} &3x+x &= &2-x+x \\&4x &= &2 \end{array}$ Divide by 4 to both sides of the equation to obtain: $\dfrac{4x}{4} = \dfrac{2}{4} \\x = \dfrac{1}{2}$
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