Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 113: 53



Work Step by Step

$9^{2y+3}=27^{y}\qquad \color{blue}{\text{ ...recognize } 9=3^{2}, 27=3^{3}}$ $(3^{2})^{2y+3}=(3^{3})^{y}\qquad \color{blue}{\text{ ...apply } (a^{n})^{m}=a^{nm},\quad a^{1}=a}$ $3^{4y+6}=3^{3y}\qquad \color{blue}{\text{ ...equate the exponents } }$ $4y+6=3y\qquad \color{blue}{\text{ ... }/-6-3y }$ $y=-6$
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