Final answer:
By expressing the given logarithmic equations in their exponential forms, we find that M is 10,000 times larger than P.
Step-by-step explanation:
The question involves solving logarithmic equations to determine the relationship between P and M. We are given the equations log(p/n) = 5 and log(m/n) = 9. To find the relationship, we can start by expressing the logarithms in their exponential forms: p/n = 105 and m/n = 109.
From these exponential forms, we can infer that p = 105*n and m = 109*n. Therefore, by dividing m by p, we get: m/p = (109*n) / (105*n) = 104. Hence, we find that M is 10,000 times larger than P.