Question

If log (m + n) = log 2+ 1 /2 log m + 1 /2 log n, Prove that m=n

Answer 1

Step-by-step explanation:

(m−1)

m

=n

if logm+logn=log(m+n), find m in terms of n

We can write this as: log(mn)=log(m+n)

∴mn=m+n

Subtracting n from both the sides we get,

mn–n=m

n(m−1)=m

m−1

m

=n