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Popular >

simplify ln(ab)+2ln(ab)

Solution

simplify

ln (ab) + 2 ln (ab)

Solution

3 ln (a) + 3 ln (b)

Solution steps

ln (ab) + 2 ln (ab)

Apply log rule:

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

ln (ab) = ln (a) + ln (b), 2 ln (ab) = 2 ln (a) + 2 ln (b)

= ln (a) + ln (b) + 2 ln (a) + 2 ln (b)

Simplify

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

= 3 ln (a) + 3 ln (b)

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Frequently Asked Questions (FAQ)

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