log(x)(1/36)=-2

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Solution for log(x)(1/36)=-2 equation: 


D( x )

x <= 0

x <= 0

x in (0:+oo)

log(x)(1/36) = -2 // + 2

log(x)(1/36)+2 = 0

log(x)(1/36)+2 = 0 // - 2

log(x)(1/36) = -2

log(x)(1/36) = log(x)(x^-2)

1/36 = x^-2

-1*x^-2 = -1/36 // : -1

x^-2 = 1/36

-2 < 0

1/(x^2) = 1/36 // * x^2

1 = 1/36*x^2 // : 1/36

36 = x^2

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { -6} 

x = 6

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