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Popular >

simplify ln((-x)/2)-ln((-3x)/2)

Solution

simplify

ln (\frac{- x}{2}) - ln (\frac{- 3 x}{2})

Solution

- ln (3)

+1

Decimal Notation

- 1.09861 \dots

Solution steps

ln (\frac{- x}{2}) - ln (\frac{- 3 x}{2})

Apply log rule:

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

ln (\frac{- x}{2}) - ln (\frac{- 3 x}{2}) = ln (\frac{\frac{- x}{2}}{\frac{- 3 x}{2}})

= ln (\frac{\frac{- x}{2}}{\frac{- 3 x}{2}})

\frac{\frac{- x}{2}}{\frac{- 3 x}{2}} = \frac{1}{3}

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

Apply log rule:

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

= - ln (3)

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Frequently Asked Questions (FAQ)

What is ln((-x)/2)-ln((-3x)/2) ?
The solution to ln((-x)/2)-ln((-3x)/2) is -ln(3)