y=ln(5x)/3-ln(6x)

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Solution for y=ln(5x)/3-ln(6x) equation:


D( x )

5*x <= 0

6*x <= 0

5*x <= 0

5*x <= 0

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

5*x <= 0 // : 5

x <= 0/5

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)

y = ln(5*x)/3-ln(6*x) // - ln(5*x)/3-ln(6*x)

ln(6*x)-(ln(5*x)/3)+y = 0

ln(1/((5*x)^(1/3)))+ln(6*x)+y = 0

ln(6*(1/((5*x)^(1/3)))*x)+y = 0

ln(1*6*e^1*(1/((5*x)^(1/3)))*x) = 0

ln(6*e*(1/((5*x)^(1/3)))*x) = 0

ln(6*e*(1/((5*x)^(1/3)))*x) = ln(e^0)

6*e*(1/((5*x)^(1/3)))*x = e^0

6*e*(1/((5*x)^(1/3)))*x-e^0 = 0

((6*e)/(5^(1/3)))*x^(2/3) = 1 // : (6*e)/(5^(1/3))

x^(2/3) = 1/((6*e)/(5^(1/3)))

x^(2/3) = 1/((6*e)/(5^(1/3))) // ^ 3

x^2 = (5*e^-3)/216 // ^ 1/2

abs(x) = (5^(1/2)*e^(-3/2))/(6*6^(1/2))

x = (5^(1/2)*e^(-3/2))/(6*6^(1/2)) or x = -((5^(1/2)*e^(-3/2))/(6*6^(1/2)))

x in { -((5^(1/2)*e^(-3/2))/(6*6^(1/2)))}

x = (5^(1/2)*e^(-3/2))/(6*6^(1/2))

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