3^-2n/3^-3n=81

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Solution for 3^-2n/3^-3n=81 equation: 


n in (-oo:+oo)

((3^-2*n)/(3^-3))*n = 81 // - 81

((3^-2*n)/(3^-3))*n-81 = 0

3*n^2 = 81 // : 3

n^2 = 27

n^2 = 27 // ^ 1/2

abs(n) = 3*3^(1/2)

n = 3*3^(1/2) or n = -(3*3^(1/2))

n in { 3*3^(1/2), -(3*3^(1/2)) }

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