ln(7x^3/3)=10

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Solution for ln(7x^3/3)=10 equation: 


D( x )

(7*x^3)/3 <= 0

(7*x^3)/3 <= 0

(7*x^3)/3 <= 0

7/3*x^3 <= 0

7/3*x^3 <= 0 // : 7/3

x^3 <= 0/7/3

x^3 <= 0

x^3 <= 0 // ^ 1/3

x <= 0

x in (-oo:0>

x in (0:+oo)

ln((7*x^3)/3) = 10 // - 10

ln((7*x^3)/3)-10 = 0

ln((7*x^3)/3)-10 = 0 // + 10

ln((7*x^3)/3) = 10

ln((7*x^3)/3) = ln(e^10)

(7*x^3)/3 = e^10

(7*x^3)/3-e^10 = 0

7/3*x^3 = e^10 // : 7/3

x^3 = 3/7*e^10

x^3 = 3/7*e^10 // ^ 1/3

x = (3/7)^(1/3)*e^(10/3)

x = (3/7)^(1/3)*e^(10/3)

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