31. If log (a/b) + log (b/a) = log(a + b), then
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Answer:
loga/b+logb/a=log(a+b)
But logx/y=logx-logy
So,
loga-logb+logb-loga=log(a+b)
0=log(a+b)
but log1=0
log1=loga+b
a+b=1
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