Let log P/N=8 and log M/N=5

What is the relationship between P and M?

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.