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

Published by Pearson

# Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set - Page 237: 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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