Question

5^x+1 + 5^x + 5^x-1=31

Answer 1

$5^{x+1} + 5^x + 5^{x-1}=31 \ {5}^{x} (5 + 1 + frac{1}{5} ) = 31 \ {5}^{x} times 6 frac{1}{5} = 31 \ {5}^{x} times frac{31}{5} = 31 \ {5}^{x} = 5 \ x = 1$

Answer 2

https://znanija.com/task/30257298
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Answer 3

$( {5}^{2} + 5 + 1) times {5}^{x - 1} = 31 \ \ (25 + 5 + 1) times {5}^{x - 1} = 31 \ \ 31 times 5 {}^{x - 1} = 31 \ \ {5}^{x - 1} =1 {5}^{x - 1} = {5}^{0} \ \ x - 1 = 0 \ \ x = 1$