ln(3x)/ln(5x)

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Solution for ln(3x)/ln(5x) equation: 


D( x )

3*x <= 0

5*x <= 0

ln(5*x) = 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

5*x <= 0

5*x <= 0

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

5*x <= 0 // : 5

x <= 0/5

x <= 0

ln(5*x) = 0

ln(5*x) = 0

ln(5*x) = ln(e^0)

5*x = e^0

5*x-e^0 = 0

5*x-1 = 0 // + 1

5*x = 1 // : 5

x = 1/5

x in (0:1/5) U (1/5:+oo)

ln(3*x)/ln(5*x) = 0

ln(3*x)/ln(5*x) = 0 // * ln(5*x)

ln(3*x) = 0

ln(3*x) = ln(e^0)

3*x = e^0

3*x-e^0 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x = 1/3

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