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Popular >

y=(ln(x))^{ln(x)}

Solution

y = (ln (x))^{l n (x)}

Solution

Domain : x > 1

Range : f (x) \geq (\frac{1}{e})^{\frac{1}{e}}

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (e^{\frac{1}{e}}, (\frac{1}{e})^{\frac{1}{e}})

+1

Interval Notation

Domain : (1, \infty)

Range : [(\frac{1}{e})^{\frac{1}{e}}, \infty)

Solution steps

Domain of

ln^{l n (x)} (x) : x > 1

Range of

ln^{l n (x)} (x) : f (x) \geq (\frac{1}{e})^{\frac{1}{e}}

Axis interception points of

ln^{l n (x)} (x) :

None

Asymptotes of

ln^{l n (x)} (x) :

None

Extreme Points of

ln^{l n (x)} (x) :

Minimum

(e^{\frac{1}{e}}, (\frac{1}{e})^{\frac{1}{e}})

Popular Examples

y = 4 x + 22

f (m) = m^{2} - 4 m - 5

y = 2 x^{2} + 8 x + 11

f(x)=2x^3-x^2+1

f (x) = 2 x^{3} - x^{2} + 1

f(x)=-e^{x-1}+2

f (x) = - e^{x - 1} + 2

Frequently Asked Questions (FAQ)

What is the y=(ln(x))^{ln(x)} ?
The y=(ln(x))^{ln(x)} is