4-x-6-x-9-x-

Question Number 86339 by frempongfaustina24@gmail.com last updated on 28/Mar/20

4^{x} + 6^{x} = 9^{x}

Answered by jagoll last updated on 28/Mar/20

{(\frac{2}{3})}^{2 x} + {(\frac{2}{3})}^{x} = 1

let {(\frac{2}{3})}^{x} = t

t^{2} + t = 1 \Rightarrow t^{2} + t - 1 = 0

now it easy to solve

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