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Popular >

simplify 5ln(m)-3ln(n)

Solution

simplify

5 ln (m) - 3 ln (n)

Solution

ln (\frac{m ^{5}}{n ^{3}})

Solution steps

5 ln (m) - 3 ln (n)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= ln (m^{5}) - 3 ln (n)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= ln (m^{5}) - ln (n^{3})

Apply log rule:

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

ln (m^{5}) - ln (n^{3}) = ln (\frac{m ^{5}}{n ^{3}})

= ln (\frac{m ^{5}}{n ^{3}})

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Frequently Asked Questions (FAQ)

What is 5ln(m)-3ln(n) ?
The solution to 5ln(m)-3ln(n) is ln((m^5)/(n^3))