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Popular >

simplify ln(r/(3s))

Solution

simplify

ln (\frac{r}{3 s})

Solution

ln (r) - ln (3) - ln (s)

Solution steps

ln (\frac{r}{3 s})

Apply log rule:

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

ln (\frac{r}{3 s}) = ln (r) - ln (3 s)

= ln (r) - ln (3 s)

Apply log rule:

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

ln (3 s) = ln (3) + ln (s)

= ln (r) - (ln (s) + ln (3))

- (ln (3) + ln (s)) : - ln (3) - ln (s)

= ln (r) - ln (3) - ln (s)

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Frequently Asked Questions (FAQ)

What is ln(r/(3s)) ?
The solution to ln(r/(3s)) is ln(r)-ln(3)-ln(s)