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Popular >

simplify ln((r^5)/8)

Solution

simplify

ln (\frac{r ^{5}}{8})

Solution

5 ln (r) - 3 ln (2)

Solution steps

ln (\frac{r ^{5}}{8})

Apply log rule:

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

ln (\frac{r ^{5}}{8}) = ln (r^{5}) - ln (8)

= ln (r^{5}) - ln (8)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (r^{5}) = 5 ln (r)

= 5 ln (r) - ln (8)

ln (8) = 3 ln (2)

= 5 ln (r) - 3 ln (2)

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Frequently Asked Questions (FAQ)

What is ln((r^5)/8) ?
The solution to ln((r^5)/8) is 5ln(r)-3ln(2)