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Popular >

simplify ln(x^{1/x})

Solution

simplify

ln (x^{\frac{1}{x}})

Solution

\frac{ln ( x )}{x}

Solution steps

ln (x^{\frac{1}{x}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{x} ln (x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ln ( x )}{x}

Multiply:

1 \cdot ln (x) = ln (x)

= \frac{ln ( x )}{x}

Popular Examples

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(x + 3) (x + 10)

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- 6 u - 2 (- 7 u + 10)

Frequently Asked Questions (FAQ)

What is ln(x^{1/x}) ?
The solution to ln(x^{1/x}) is (ln(x))/x