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Popular >

simplify ln(x^{-1})

Solution

simplify

ln (x^{- 1})

Solution

- ln (x)

Solution steps

ln (x^{- 1})

Apply log rule

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

assuming

x \geq 0

= - 1 \cdot ln (x)

Multiply:

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

= - ln (x)

Popular Examples

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\frac{8}{- 6}

expand (2x+y)^4 expand

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Frequently Asked Questions (FAQ)

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