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

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


D( x )

3*x <= 0

(x^3)/4 <= 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

(x^3)/4 <= 0

(x^3)/4 <= 0

1/4*x^3 <= 0

1/4*x^3 <= 0 // : 1/4

x^3 <= 0/1/4

x^3 <= 0

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

x <= 0

x in (-oo:0>

x in (0:+oo)

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

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

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

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

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

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

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

3/1024*x^16 = 1 // : 3/1024

x^16 = 1024/3

x^16 = 1024/3 // ^ 1/16

abs(x) = (1024/3)^(1/16)

x = (1024/3)^(1/16) or x = -(1024/3)^(1/16)

x in { -(1024/3)^(1/16)}

x = (1024/3)^(1/16)

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