To solve this problem, we need to use the properties of logarithms:

log(a) - log(b) = log(a/b)

log(a^n) = nlog(a)

log(a) = log(b^(1/a))

Now let's simplify each expression step by step:

log(0,3)3 - log(0,3)10
=log(3)/(log(3)log(3))(log(10))
=1/(log(3))-1/(log(10))
=log(3/10)

log(2)1/8
=log(8^(1/3))
=log(2)

lg 0,01
=log(100^(-1))
=-2

log(1/3)3-lgn10^-4
=log(3^(1/3))-log(10^4)
=1/3log(3)-4log(10)
=1/3log(3)
=log(3^(1/3))

In conclusion: log(3/10) + log(2) - 2 + log(3^(1/3))