Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set: 109

Answer

$x=13$

Work Step by Step

Using the laws of exponents, the value of the variable in the given equation $ \dfrac{t^{26}}{t^x}=t^x $ is \begin{array}{l}\require{cancel} t^{26-x}=t^x \\\\ 26-x=x \\\\ -x-x=-26 \\\\ -2x=-26 \\\\ x=\dfrac{-26}{-2} \\\\ x=13 .\end{array}
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