ln(1+5x)^1/4/(x-5)^11

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Solution for ln(1+5x)^1/4/(x-5)^11 equation:


D( x )

(x-5)^11 = 0

5*x+1 <= 0

(x-5)^11 = 0

(x-5)^11 = 0

x-5 = 0 // + 5

x = 5

5*x+1 <= 0

5*x+1 <= 0

5*x+1 <= 0 // - 1

5*x <= -1 // : 5

x <= -1/5

x in (-1/5:5) U (5:+oo)

(((ln(5*x+1))^1)/4)/((x-5)^11) = 0

(ln(5*x+1)/4)/((x-5)^11) = 0

(((ln(5*x+1))^1)/4)/((x-5)^11) = 0 // * (x-5)^11

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

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

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

ln(5*x+1) = 0

ln(5*x+1) = ln(e^0)

5*x+1 = e^0

5*x-e^0+1 = 0

5*x = 0 // : 5

x = 0

x = 0

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