Question

Let log P/N=8 and log M/N=5, What is the relationship between P and M?

a. p=100M
b. p=0.001M
c. p=3M
d. p=1,000M

Answer 1

probably a snappier way to do this, but you can write each one in equivalent exponential form \[\frac{P}{N}=10^8, \frac{M}{N}=10^5\] so
\[P=10^8N,M =10^5N\] and therefore
\[\frac{P}{M}=\frac{10^8N}{10^5N}=10^3\]

Answer 2

So 1000.