<p>Suppose that <img alt="$4^{x_1}=5$" height="13" src="https://latex.artofproblemsolving.com/e/b/8/eb87a3665fb59dbcd9596b0df4f43b402970a721.png" width="56" />, <img alt="$5^{x_2}=6$" height="12" src="https://latex.artofproblemsolving.com/8/c/6/8c67cbcfbe58d11956c67bc0409ec1404e702a37.png" width="56" />, <img alt="$6^{x_3}=7$" height="12" src="https://latex.artofproblemsolving.com/f/5/a/f5a02485fa767421348ba260e4388a1825019309.png" width="57" />, ... , <img alt="$127^{x_{124}}=128$" height="13" src="https://latex.artofproblemsolving.com/0/9/3/0937b07c3e346a9cb8d73cd3fa8a2f0109301c4d.png" width="104" />. What is <img alt="$x_1x_2...x_{124}$" height="10" src="https://latex.artofproblemsolving.com/c/f/2/cf2fbbd3e4296a47e29abdf2fb1d8cf2cd06ed0f.png" width="80" />?</p>

Question No: 255

Suppose that $4^{x_1}=5$ , $5^{x_2}=6$ , $6^{x_3}=7$ , ... , $127^{x_{124}}=128$ . What is $x_1x_2...x_{124}$ ?

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Tags: Algebra

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