Question

if a^2+b^2=0, then the value of log(a+b) is

Answer 1

a² + b² = 0
(a+b)² -2ab =0
(a +b)² = 2ab
take log both sides
log(a + b)² = log(2ab)
2log(a + b) = log2 + loga + logb
log(a + b) =1/2(log2 + loga + logb)