=
B) 2 ln x ln y - 3 ln z
C) ln 2 + ln x + ln y - ln 3 - ln z
D) 2(ln x + ln y) - 3 ln z
E) ln 2 ln x ln y - ln 3 ln z

Question

=
B) 2 ln x ln y - 3 ln z 
C) ln 2 + ln x + ln y - ln 3 - ln z 
D) 2(ln x + ln y) - 3 ln z 
E) ln 2 ln x ln y - ln 3 ln z

Quizplus · Accepted Answer

The expression can be written as: 2ln(x) + 2ln(y) - 3ln(z). This simplifies further to: ln(x^2) + ln(y^2) - ln(z^3). Using the logarithmic property, ln(a) + ln(b) = ln(ab) and ln(a) - ln(b) = ln(a/b), we get: ln((x^2)(y^2)/(z^3)). This is equivalent to choice D, 2(ln x + ln y) - 3ln z.