log(x/4)(36)=2

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Solution for log(x/4)(36)=2 equation: 


D( x )

x/4 <= 0

x/4 <= 0

x/4 <= 0

1/4*x+0 <= 0 // - 0

1/4*x <= 0 // : 1/4

x <= 0/1/4

x <= 0

x in (0:+oo)

log(x/4)(36) = 2 // - 2

log(x/4)(36)-2 = 0

log(x/4)(36)-2 = 0 // + 2

log(x/4)(36) = 2

log(x/4)(36) = log(x/4)((x/4)^2)

36 = (x/4)^2

36-(x/4)^2 = 0

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

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { -6} 

x = 6

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