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

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


D( x )

2*x <= 0

(x^2)/5 <= 0

2*x <= 0

2*x <= 0

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

2*x <= 0 // : 2

x <= 0/2

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(2*x) = 0

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

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

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

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

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

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

2/625*x^9 = 1 // : 2/625

x^9 = 625/2

x^9 = 625/2 // ^ 1/9

x = (625/2)^(1/9)

x = (625/2)^(1/9)

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