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a^3+b^3=0 then log (a+b) =1/2 (log a + log b + log 3)
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I don't know exactly what is written here: it is the piece of a statement, but not the entire, whole and/or completed mathematical statement.
OK, I will read it in this way:
If a^3 + b^3 = 0 then log(a+b) = 1/2*(log a + log b + log 3)
because it is the most natural way to decipher the original text.
But if we are in the real numbers domain, then a^3 + b^3 = 0 implies
a^3 = -b^3, which implies a = - b.
Then log (a+b) = log(0), which is not defined.
The resume from my analysis is this: the proposed text (presented as is and without additional comments) is an example
of mathematically illiterate text,
and I regret about my time which I spent for nothing, analyzing this post.