4ln(x^2/5)+ln(3x)

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Solution for 4ln(x^2/5)+ln(3x) equation: 


D( x )

3*x <= 0

(x^2)/5 <= 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

(x^2)/5 <= 0

(x^2)/5 <= 0

1/5*x^2 <= 0

1/5*x^2 <= 0 // : 1/5

x^2 <= 0/1/5

x^2 <= 0

x in <0:0>

x in (0:+oo)

4*ln((x^2)/5)+ln(3*x) = 0

ln(1*((x^2)/5)^4)+ln(3*x) = 0

ln(1*3*x*((x^2)/5)^4) = 0

ln(3*x*((x^2)/5)^4) = 0

ln(3*x*((x^2)/5)^4) = ln(e^0)

3*x*((x^2)/5)^4 = e^0

3*x*((x^2)/5)^4-e^0 = 0

3/625*x^9 = 1 // : 3/625

x^9 = 625/3

x^9 = 625/3 // ^ 1/9

x = (625/3)^(1/9)

x = (625/3)^(1/9)

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