Verified answer

2logx = logx^2

2logy = logy^2

4logz = logz^4

(2logy + 4logz) = logy^2*z^4

3((2logy + 4logz) = log(y^2*z^4)^3 = log(y^6z^12)

2logx - 3(2logy + 4logz) = log(x^2/(y^6z^12)) or log(x^2y^-6z^-12)

2logx-6logy-12logz =

log[x^2/y^6z^12]