Why isn't sum of logs == log of product?

Why am I getting false for this when the answers are equal?

>> log(3) + log(4) == log(3*4)
ans =
logical
0

>> log(3) + log(4)
ans =
2.4849

>> log(3*4)
ans =
2.4849

Answer 1

[Image Analyst]

See the FAQ:

Why is 0.3 - 0.2 - 0.1 or similar not equal to zero?

Answer 2

[the cyclist]

They are equal to within double precision:

log(3) + log(4) - log(3*4)

ans = -4.4409e-16

There are many places on this forum that discuss this in more detail, e.g. this question/answer.