What is ln(x)+ln(y)+2ln(12-x-y) ?

The solution to ln(x)+ln(y)+2ln(12-x-y) is ln(xy(12-x-y)^2)

Popular >

simplify ln(x)+ln(y)+2ln(12-x-y)

simplify

ln (x) + ln (y) + 2 ln (12 - x - y)

ln (x y (12 - x - y)^{2})

Solution steps

ln (x) + ln (y) + 2 ln (12 - x - y)

Apply log rule:

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

ln (x) + ln (y) = ln (x y)

= ln (x y) + 2 ln (12 - x - y)

Apply log rule:

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

2 ln (12 - x - y) = ln ((12 - x - y)^{2})

= ln (x y) + ln ((12 - x - y)^{2})

Apply log rule:

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

ln (x y) + ln ((12 - x - y)^{2}) = ln (x y (12 - x - y)^{2})

= ln (x y (12 - x - y)^{2})

ln (\frac{x}{( x + 1 )})

\frac{2}{3} lo g_{2} (x) + lo g_{2} (y)

89.9 (- ln ∣ 0.3 + 0.2 ∣ + ln ∣ 0.2 ∣)

\frac{18}{16 π ^{2}} ln (\frac{( 16 ) ^{2}}{0.03 \cdot 16 π ^{2}})

- 4 ln (5) + \frac{1}{3} ln (y)

What is ln(x)+ln(y)+2ln(12-x-y) ?
The solution to ln(x)+ln(y)+2ln(12-x-y) is ln(xy(12-x-y)^2)