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Popular >

expand ln(r/(2s))

Solution

expand

ln (\frac{r}{2 s})

Solution

ln (r) - ln (2) - ln (s)

Solution steps

ln (\frac{r}{2 s})

Apply log rule:

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

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

= ln (r) - ln (2 s)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 s) = ln (2) + ln (s)

= ln (r) - (ln (s) + ln (2))

- (ln (2) + ln (s)) : - ln (2) - ln (s)

= ln (r) - ln (2) - ln (s)

Popular Examples

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7 lo g_{2} (u) + 4 lo g_{2} (v)

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Frequently Asked Questions (FAQ)

What is expand ln(r/(2s)) ?
The solution to expand ln(r/(2s)) is ln(r)-ln(2)-ln(s)