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Popular >

simplify ln(6)+2ln(xy)

Solution

simplify

ln (6) + 2 ln (x y)

Solution

ln (6 x^{2} y^{2})

Solution steps

ln (6) + 2 ln (x y)

Apply log rule:

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

2 ln (x y) = ln ((x y)^{2})

= ln (6) + ln ((x y)^{2})

Apply log rule:

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

ln (6) + ln ((x y)^{2}) = ln (6 (x y)^{2})

= ln (6 (x y)^{2})

(x y)^{2} = x^{2} y^{2}

= ln (6 x^{2} y^{2})

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Frequently Asked Questions (FAQ)

What is ln(6)+2ln(xy) ?
The solution to ln(6)+2ln(xy) is ln(6x^2y^2)