Lilmike234
  • Lilmike234
let log of PN6; log of MN=8; what is the value
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Lilmike234
  • Lilmike234
No P/N and M/N
dumbcow
  • dumbcow
ok \[\ln (p/n) = 6, \ln (m/n) = 8\]
Lilmike234
  • Lilmike234
What's the relationship ? Is it M=100P

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dumbcow
  • dumbcow
using the log property ..... log a - log b = log(a/b) \[\ln p - \ln n = 6 \rightarrow \ln n = \ln p - 6\] \[\ln m - \ln n = 8\] using substitution \[\ln m - (\ln p - 6) = 8\] \[\ln m - \ln p = 2\] \[\ln (m/p) = 2\] .... assuming log base 10, then yes m/p = 100 or m = 100p

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