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Popular >

simplify ln((k^3)/(m^8))

Solution

simplify

ln (\frac{k ^{3}}{m ^{8}})

Solution

3 ln (k) - 8 ln (m)

Solution steps

ln (\frac{k ^{3}}{m ^{8}})

Apply log rule:

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

ln (\frac{k ^{3}}{m ^{8}}) = ln (k^{3}) - ln (m^{8})

= ln (k^{3}) - ln (m^{8})

Apply log rule:

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

ln (k^{3}) = 3 ln (k)

= 3 ln (k) - ln (m^{8})

Apply log rule:

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

ln (m^{8}) = 8 ln (m)

= 3 ln (k) - 8 ln (m)

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Frequently Asked Questions (FAQ)

What is ln((k^3)/(m^8)) ?
The solution to ln((k^3)/(m^8)) is 3ln(k)-8ln(m)