Mathematics
Senior High
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14と15教えてください!!!

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15…log10の2のn乗< log10の3の20乗< log10の2のn+ 1乗
log10の3の20乗=20×0.4771=9.542
log10の2のn乗<9.542
n×0.3010<9.542
n <31.7… ①
9.542< log10の2のn+ 1乗
(n+1)×0.3010>9.542
n+1>31.7… ②
①、②より、
n <31.7<n+1
n=31

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14…続きからいくと、
2の-n乗<10の-4乗
log10の2の-n乗< log10の10の-4乗
-n×0.3010<-4
n>13.2…
よって
A.n=14

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