log(x/2)(36)=2

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


D( x )

x/2 <= 0

x/2 <= 0

x/2 <= 0

1/2*x+0 <= 0 // - 0

1/2*x <= 0 // : 1/2

x <= 0/1/2

x <= 0

x in (0:+oo)

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

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

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

log(x/2)(36) = 2

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

36 = (x/2)^2

36-(x/2)^2 = 0

-1/4*x^2 = -36 // : -1/4

x^2 = 144

x^2 = 144 // ^ 1/2

abs(x) = 12

x = 12 or x = -12

x in { -12} 

x = 12

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