What is the f(x)=ln(x^{11}sqrt(7-x)),0<x<7 ?

The f(x)=ln(x^{11}sqrt(7-x)),0<x<7 is

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f(x)=ln(x^{11}sqrt(7-x)),0<x<7

f (x) = ln (x^{11} 7 - x), 0 < x < 7

Domain : 0 < x < 7

Range : f (x) \leq 11 ln (154) + \frac{1}{2} ln (7) - \frac{23}{2} ln (23)

Intercepts : None

Asymptotes : None

Extreme Points : Maximum (\frac{154}{23}, 11 ln (154) + \frac{1}{2} ln (7) - \frac{23}{2} ln (23))

Interval Notation

Domain : (0, 7)

Range : (- \infty, 11 ln (154) + \frac{1}{2} ln (7) - \frac{23}{2} ln (23)]

Solution steps

Domain of

ln (x^{11} 7 - x), 0 < x < 7 : 0 < x < 7

Range of

ln (x^{11} 7 - x), 0 < x < 7 : f (x) \leq 11 ln (154) + \frac{1}{2} ln (7) - \frac{23}{2} ln (23)

Axis interception points of

ln (x^{11} 7 - x), 0 < x < 7 :

None

Asymptotes of

ln (x^{11} 7 - x), 0 < x < 7 :

None

Extreme Points of

ln (x^{11} 7 - x), 0 < x < 7 :

Maximum

(\frac{154}{23}, 11 ln (154) + \frac{1}{2} ln (7) - \frac{23}{2} ln (23))

f (x) = 2 π

f (x) = 60

f (x) = 23

f (x) = + x

f (x) = \frac{x ^{3} - x}{x ^{3} + 2 x ^{2} - 3 x}

What is the f(x)=ln(x^{11}sqrt(7-x)),0<x<7 ?
The f(x)=ln(x^{11}sqrt(7-x)),0<x<7 is