ln(x^(5/2))+ln(9x)

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Solution for ln(x^(5/2))+ln(9x) equation: 


D( x )

x < 0

9*x <= 0

x^(5/2) <= 0

x < 0

9*x <= 0

9*x <= 0

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

9*x <= 0 // : 9

x <= 0/9

x <= 0

x^(5/2) <= 0

x^(5/2) <= 0

1*x^(5/2) <= 0

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

x^(5/2) <= 0/1

x^(5/2) <= 0

x >= 0

x in <0:0>

x in (0:+oo)

ln(x^(5/2))+ln(9*x) = 0

5/2*ln(x)+ln(9*x) = 0

ln(1*x^(5/2))+ln(9*x) = 0

ln(1*9*x*x^(5/2)) = 0

ln(9*x*x^(5/2)) = 0

ln(9*x*x^(5/2)) = ln(e^0)

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

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

9*x^(7/2) = 1 // : 9

x^(7/2) = 1/9

x^(7/2) = 1/9 // ^ 2

x^7 = 1/81 // ^ 1/7

x = (1/81)^(1/7)

x = (1/81)^(1/7)

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