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Popular >

simplify 8ln(m)+9ln(n)

Solution

simplify

8 ln (m) + 9 ln (n)

Solution

ln (m^{8} n^{9})

Solution steps

8 ln (m) + 9 ln (n)

Apply log rule:

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

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

= ln (m^{8}) + 9 ln (n)

Apply log rule:

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

9 ln (n) = ln (n^{9})

= ln (m^{8}) + ln (n^{9})

Apply log rule:

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

ln (m^{8}) + ln (n^{9}) = ln (m^{8} n^{9})

= ln (m^{8} n^{9})

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Frequently Asked Questions (FAQ)

What is 8ln(m)+9ln(n) ?
The solution to 8ln(m)+9ln(n) is ln(m^8n^9)