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If $$\log \left(\frac{a}{b}\right) + \log \left(\frac{b}{a}\right) = \log(a + b)$$, then which of the following statements is CORRECT?
a - b = 1
a + b = 1
a = b
$$a^2 - b^2 = 1$$
log(a/b) + log(b/a) = log(a+b)
log(a+b) = log(a/b)(b/a)
log(a+b)=log 1
a+b=1
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