we know that
log (P/N) = log P - log N
so
log P - log N = 5----------------> equation 1
log (M/N) = log M - log N
so
log M - log N = 9 ------------------> equation 2
If you subtract equation 2 from equation 1,
you have
log M - log P = 4
That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P
the answer is
the relationship between P and M is
M = 10000P
