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Question

If log  \(\frac{a}{b}\) + log  \(\frac{b}{a}\) = log (a + b), then:

Options:
A .  a + b = 1
B .  a - b = 1
C .  a = b
D .  a2 - b2 = 1
Answer: Option A

log \(\frac{a}{b}\)   +log  \(\frac{b}{a}\)   = log (a + b)


 log (a + b) = log   \(\log\left(\frac{a}{b}\times\frac{b}{a}\right)\)  = log 1.


o, a + b = 1.


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