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mr Goodwill [35]
4 years ago
6

Find the largest integer n for which n power 200 < 5 power 300?

Mathematics
2 answers:
Anarel [89]4 years ago
3 0
n^{200}
siniylev [52]4 years ago
3 0
<span>Let us take logarithms on both sides.
200 log n < 300 log 5
So      log n < 3/2 log 5
           log  n < log  5 power 3/2
        n < 5 power 3/2
      n  <  square root (5³)   =  √125

so n = 11</span>
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