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Popular >

simplify x^{-1}ln(x^{-1})

Solution

simplify

x^{- 1} ln (x^{- 1})

Solution

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

Solution steps

x^{- 1} ln (x^{- 1})

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

Simplify

ln (x^{- 1}) : - 1 \cdot ln (x)

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

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Refine

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

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9.7 \cdot 1.1637 \cdot 1 0^{- 7}

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0.04 \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

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