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if log (x+y) = log x + log y , then x=...

if log (x+y) = log x + log y , then x= ____

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State, true or false : (i) log 1 xx log 1000 = 0 (ii) (log x)/(log y) = log x - log y (iii) If (log 25)/(log 5) = log x , then x = 2 (iv) log x xx log y = log x + log y