Question

If logM/N=5 and logP/N=7, what can you say about the relationship between M and P?

A. M=2P
B. P=2M
C. P=100M
D. P=10M

Answer 1

I assume you mean log(M/N)? log (P/N)?

Answer 2

yes \[\log \frac{ M }{ N } and \log \frac{ P }{ N }\]

Answer 3

log (M/N) = log M - log N, so log M - log N = 5
log (P/N) = log P - log N, so log P - log N = 7

If you subtract equation 2 from equation 1, you have log M - log P = -2

That means that log (M/P) = -2 ----> 10^-2 = M/P ---> P = 100M

Answer 4

thank you SO much! :)

Answer 5

@ali1029 Does each step make sense?

Answer 6

yeah I see exactly what you did! it seems kind of like you subtracted the rate of change or whatever it is called (I dont know exact terms :p )

Answer 7

but yeah i see what you did, thanks!! :)

Answer 8

Welcome.

(Rate of change is the slope...but slope was not considered in this problem..you probably meant something else).