If logm/n = 4 and logp/n =7, what can you say about the relationship between m and p?
a. p= 3m
b. m= 3p
c. p= 1000m
d. p= 100m

C. P= 1000M

Step-by-step explanation:

Using the quotient rule of logs we can write:

log(M) - log(N) = 4

or

log(M) - 4 = log(N)                                       (Equation 1)

Using the quotient rule of logs we can write:

log(P) - log(N) = 7

or

log(P) - 7 = log(N)                                         (Equation 2)

Comparing equation 1 and 2, we can write:

log(M) - 4 = log(P) - 7

-4 + 7 = log(P) - log(M)

log(P) - log(M) = 3

Converting the log to exponential form we get:

Thus, option C gives the correct answer.

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