Question

Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?

Answer 1

log (1 + 2 + 3) = log 6
= log (1 + 2 + 3) = log 1 + log 2 + log 3
No, this property is not true for any numbers x, y, z
For example, log (1 + 3 + 5) = log 9
log 1 + log 3 + log 5 = log (1 x 3 x 5) = log 15
log (1 + 3 + 5) ≠ log 1 + log 3 + log 5.