Mathematics
Senior High
Resolved
なぜlog2 3√3がlog2 8よりも小さいのか理由を教えて下さい
376 (1) 3log43 = 3.
log23
log24
3
=
-log23 = log₂3
2
= log2√33=log23√3
2log 23=log232 = log29
3=log223 = log 28
底2は1より大きく, 3√3 <89であるから
log23√3 <log28<log29
すなわち
3log43<3<2log23
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