Question

Let log P/N = 5 , and log M/N = 9 ,
What is the relationship between P and M?

Answer 1

Subtract log M/ N by log P/N

Answer 2

is log the natural log?

Answer 3

no the log as in 10 .

Answer 4

How do I do that ash? My knowledge with logs is little ..

Answer 5

ok
\[\log \frac M N - \log \frac P N =9-5\]
Can you simplify this a bit? maybe the right side

Answer 6

Yeah, 4 on the right side

Answer 7

According to subtraction property of log
\[\log A -\log B= \log \frac A B\]
Can you use that here? @shamil98

Answer 8

log M/N = log M - log N
log P/N = log P - log N

Answer 9

treat M/ N as A
P/N as B
then use it to reduce two terms to one

Answer 10

never mind that would work as well, substitute your expansion and see if any terms get cancelled.

Answer 11

\[
\frac P N = 10^5 \\
\frac M N = 10^9 \\

\frac {\frac P N}
{\frac M N}= \frac {10^5}{10^9}\\
\frac {P}{M}=\frac{1}{10^4}
\]

Answer 12

Log M - log N - ( log P - log N ) = 4
Log M - log N - log P + log N = 4
Log M - Log P = 4

Answer 13

yes, now use the sub property to combine log m and log p

Answer 14

log M/P = 4

Answer 15

@eliassaab Sir please don't directly handover the answers to the asker. It won't help them.

Answer 16

good shamil. Do you know how log is defined?

Answer 17

Nope.. could you explain?..

Answer 18

http://en.wikipedia.org/wiki/Logarithm

Answer 19

ok, so we have
\[\log_A B=C\]
this implies
\[B=A^C\]
A=base
that's how log is defined
Suppose we have
\[\log_2 4=C\]
so
\[2^C=4\]
or
\[C=2\]

Do you follow?

Answer 20

Yeah.

Answer 21

can you apply it here?

Answer 22

log M/P = 4
\[\log_{10} \frac{ M }{ P } = 4\]
\[\large \frac{ M }{ P } = 10^4\]
?

Answer 23

yes, good work. You can simplify it

Answer 24

\[\large \frac{ M }{ P } = 10000\]
\[\large M = 10000P\]

Answer 25

yes, that's right

Answer 26

thanks, for the explanation. I appreciate @eliassaab your effort, I just needed an explanation on how to get to there.