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Find the number of solutions of the equation 3^x+4^x=8^x in reals

Source: MTRP 2016 Class 11-Multiple Choice Question: Problem 6 :-

May 31, 2020
algebraDiophantine equation

Problem Statement

Number of solutions of the equation 3x+4x=8x3^x+4^x=8^x in reals is
[*] 0 [*] 1 [*] 2 [*] āˆž\infty
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