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

1 answer:

8 0

Want to use some of the algebra rules of log's:

log(a)-log(b)= log(a/b),

so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),

Then: 8-5 = log(P/M), log(P/M)=3.

If log here means natural logarithm (base e), then P/M = e^3,

If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.

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Answer A is a bit nasty. I round 5 to the next highest number on the left. That may not be what you have been told to do. Let us round A to 5.7 and see if anything else does this.

Answer B rounds to 5.6

Answer C rounds to 5.6 as well. 3 is less than 5 so you round down.

Answer D rounds to 5.6(.) The zero has no effect on the 6.

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