2log2 1/4-3log1/3 27

To simplify the given expression, we can use the properties of logarithms.

1. Simplify 2log2 (1/4): 2log2 (1/4) = 2log2 (2^-2) = 2(-2)log2 (2) = -4log2 (2) = -4

2. Simplify 3log1/3 (27): 3log1/3 (27) = 3log1/3 (3^3) = 3(3)log1/3 (3) = 9log1/3 (3) = 9

Now we have: 2log2 (1/4) - 3log1/3 (27) = -4 - 9 = -13

Therefore, the simplified expression is -13.