ln(4x)/6-ln(3x)

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Solution for ln(4x)/6-ln(3x) equation:


D( x )

3*x <= 0

4*x <= 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

4*x <= 0

4*x <= 0

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

4*x <= 0 // : 4

x <= 0/4

x <= 0

x in (0:+oo)

ln(4*x)/6-ln(3*x) = 0

ln(1*(4*x)^(1/6))-ln(3*x) = 0

ln((1*(4*x)^(1/6))/(3*x)) = 0

ln(((4*x)^(1/6))/(3*x)) = 0

ln(((4*x)^(1/6))/(3*x)) = ln(e^0)

((4*x)^(1/6))/(3*x) = e^0

((4*x)^(1/6))/(3*x)-e^0 = 0

((4^(1/6))/3)*x^(-5/6) = 1 // : (4^(1/6))/3

x^(-5/6) = 3*4^(-1/6)

-5/6 < 0

1/(x^(5/6)) = 3*4^(-1/6) // * x^(5/6)

1 = 3*4^(-1/6)*x^(5/6) // : 3*4^(-1/6)

1/(3*4^(-1/6)) = x^(5/6)

x^(5/6) = 1/(3*4^(-1/6)) // ^ 6

x^5 = 4/729 // ^ 1/5

x = (4/729)^(1/5)

x = (4/729)^(1/5)

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