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Popular >

simplify 3ln(a)+2ln(b)

Solution

simplify

3 ln (a) + 2 ln (b)

Solution

ln (a^{3} b^{2})

Solution steps

3 ln (a) + 2 ln (b)

Apply log rule:

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

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

= ln (a^{3}) + 2 ln (b)

Apply log rule:

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

2 ln (b) = ln (b^{2})

= ln (a^{3}) + ln (b^{2})

Apply log rule:

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

ln (a^{3}) + ln (b^{2}) = ln (a^{3} b^{2})

= ln (a^{3} b^{2})

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Frequently Asked Questions (FAQ)

What is 3ln(a)+2ln(b) ?
The solution to 3ln(a)+2ln(b) is ln(a^3b^2)