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Popular >

simplify ln(x^{-1})-ln(3)

Solution

simplify

ln (x^{- 1}) - ln (3)

Solution

- ln (3 x)

Solution steps

ln (x^{- 1}) - ln (3)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x^{- 1}) - ln (3) = ln (\frac{x ^{- 1}}{3})

= ln (\frac{x ^{- 1}}{3})

Simplify

\frac{x ^{- 1}}{3} : \frac{1}{3 x}

= ln (\frac{1}{3 x})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (3 x)

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Frequently Asked Questions (FAQ)

What is ln(x^{-1})-ln(3) ?
The solution to ln(x^{-1})-ln(3) is -ln(3x)