College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4: 94

Answer

$x=1$

Work Step by Step

Use the law of exponents ($b^n\times b^m=b^{n+m}$) to add the exponents together. Then rewrite $81$ to have base $3$. With the bases equal, set the exponents equal to each other and solve. $3^{x+2}\times3^{x}=81$ $3^{2x+2}=81$ $3^{2x+2}=3^4$ $2x+2=4$ $2x=2$ $x=1$
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