Let #log(P/N)=8# and #log(M/N)=5# . What is the relationship between P and M?

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Answer 1 · 2018-01-10T07:07:37

#=>P/M=1/1000#

#log(P/N)=8#

#=>log(P)-log(N)=8#

#=>log(N)=log(P)-8#

#log(M/N)=5#

#=>log(M)-log(N)=5#

#=>log(N)=log(M)-5#

#=>log(P)-8=log(M)-5#

Raise both sides to the 10th power

#10^(log(P)-8)=10^(log(M)-5)#

#=>P*10^-8=M*10^-5#

#=>P/M=10^-3=1/1000#