ln(4x)/ln(2x)

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Solution for ln(4x)/ln(2x) equation: 


D( x )

ln(2*x) = 0

4*x <= 0

2*x <= 0

ln(2*x) = 0

ln(2*x) = 0

ln(2*x) = ln(e^0)

2*x = e^0

2*x-e^0 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

4*x <= 0

4*x <= 0

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

4*x <= 0 // : 4

x <= 0/4

x <= 0

2*x <= 0

2*x <= 0

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

2*x <= 0 // : 2

x <= 0/2

x <= 0

x in (0:1/2) U (1/2:+oo)

ln(4*x)/ln(2*x) = 0

ln(4*x)/ln(2*x) = 0 // * ln(2*x)

ln(4*x) = 0

ln(4*x) = ln(e^0)

4*x = e^0

4*x-e^0 = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

x = 1/4

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