L.H.S= m²+n² = 17mn
R.H.S= 2log(m-n) = log 15 + log m + log n
Solving RHS,
Using log a (bc) = c log a b
log (m-n)² = log 15 + log m + log n
Using log a b + log a c = log (ac)
log (m-n)² = log 15mn
(Log gets cancelled out)
(m-n)² = 15mn
Using (a-b)² = a²+b²-2ab
m²+n²-2mn = 15mn
m²+n² = 17mm
Proved since L.H.S = R.H.S
I solved it on my own, it was easier than I thought.