To simplify this expression, we can use the properties of logarithms:

Log2(корень из 3) = Log2(√3) = 1/2 Log2(3)

Log2(4/3) = Log2(4) - Log2(3) = Log2(2^2) - Log2(3) = 2Log2(2) - Log2(3) = 2 - Log2(3)

Now putting it back into the original expression:

1/2 Log2(3) + 1/2 (2 - Log2(3))
= 1/2 Log2(3) + 1 - 1/2 Log2(3)
= 1

Therefore, Log2(корень из 3) + 1/2 Log2(4/3) simplifies to 1.