logarithms

Question

logP/N=5 and logM/N=9.  What is the relationship between P and M?

Answer choices:

M=4P

M=10,000P

M=0.0001P

P=10,000M

 

Can you show the steps to how to solve this?  I am lost completely 

Answer 1

 

logP - logN = 5

 

logM - logN = 9

 

logM - logP = 4 ----> log M/P = 4 ----> M/P = 10⁴ = 10,000

 

M = 10,000 times P = 10,000 P