log(27)(6x)=2/3

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Solution for log(27)(6x)=2/3 equation: 


D( x )

6*x <= 0

6*x <= 0

6*x <= 0

6*x+0 <= 0 // - 0

6*x <= 0 // : 6

x <= 0/6

x <= 0

x in (0:+oo)

log(27)(6*x) = 2/3 // - 2/3

log(27)(6*x)-(2/3) = 0

log(27)(6*x)-2/3 = 0

log(27)(6*x)-2/3 = 0 // + 2/3

log(27)(6*x) = 2/3

log(27)(6*x) = log(27)(27^(2/3))

6*x = 27^(2/3)

6*x-27^(2/3) = 0

6*x-9 = 0 // + 9

6*x = 9 // : 6

x = 9/6

x = 3/2

x = 3/2

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