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Popular >

simplify ln(k/(2r))-ln(rk)

Solution

simplify

ln (\frac{k}{2 r}) - ln (r k)

Solution

- ln (2 r^{2})

Solution steps

ln (\frac{k}{2 r}) - ln (r k)

Apply log rule:

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

ln (\frac{k}{2 r}) - ln (k r) = ln (\frac{\frac{k}{2 r}}{k r})

= ln (\frac{\frac{k}{2 r}}{r k})

Simplify

\frac{\frac{k}{2 r}}{r k} : \frac{1}{2 r ^{2}}

= ln (\frac{1}{2 r ^{2}})

Apply log rule:

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

= - ln (2 r^{2})

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Frequently Asked Questions (FAQ)

What is ln(k/(2r))-ln(rk) ?
The solution to ln(k/(2r))-ln(rk) is -ln(2r^2)