1)

If log m + log n = log(m+n) then m is given by


A) $\frac{n+1}{2}$

B) $\frac{n+1}{n}$

C) $\frac{n}{n-1}$

D) None of these

Answer:

Option C

Explanation:

log m +log n = log(m+n)

(hence,log a + log b = log ab)

log (mn) = log (m+n)

mn=m+n

mn-n=n

m(n-1)=n

m=$\frac{n}{n-1}$