ln(3x-1)=1/3

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Solution for ln(3x-1)=1/3 equation:


D( x )

3*x-1 <= 0

3*x-1 <= 0

3*x-1 <= 0

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

3*x <= 1 // : 3

x <= 1/3

x in (1/3:+oo)

ln(3*x-1) = 1/3 // - 1/3

ln(3*x-1)-(1/3) = 0

ln(3*x-1)-1/3 = 0

ln(3*x-1)-1/3 = 0 // + 1/3

ln(3*x-1) = 1/3

ln(3*x-1) = ln(e^(1/3))

3*x-1 = e^(1/3)

3*x-e^(1/3)-1 = 0 // + e^(1/3)+1

3*x = e^(1/3)+1 // : 3

x = (e^(1/3)+1)/3

x = (e^(1/3)+1)/3

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