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Mathematics Senior High

対数とその性質についての質問です。 写真で、水色マーカーで示した部分の変形がわかりません。log3の5はそのままだと思うのですが、1/log3の2がlog2の3になるのかわかりません。

log216 log224 4 log28 log2233 160 サクシード数学Ⅱ log327 of 803 2) log35 log, 27=log35.- (3)10ga log35 = log327=10g333=3 log27 10g216 log:7log716=- log28 log27 logg 7・10g716=- ..log716 10g78 1 Sols-log;23 -10g724 210g22 + log23 +10g25 log22+2log25 2 +10g23 + log25 1 1+2log25 3log,2 410g2=1 Jel =logx+10ga√y-log。ミス =10gax + q +1/210gy-1310822 したがってogx+ 1+ =p+ r 2 すなわち 510 10g5o60= log260 log250 log2 (22×3×5) log2 (2x52) 1 xy はよ 513(1) 図 210g10 3 + 210g log 10 21 210g10 (3×7) log 1021 (2) [図] このグラフは,(1)の [参考 て対称である。 x= logx log4x -- 1 log44 (2) ここで log25= log35 (1) log32 log43.log925.log58 10g23.10g35=ab log23 log225 log28 よって log 50 60 = 2+a+ab 1+2ab log24 10g29 log25 1 0 1 4 x log23 log252 log223 511 指針 log222 10232 log25 Hog23 210g25 3 3 a 2 2log23 log25 2 対数の定義 α = M logaM=pから, logaMMが成り立つ。このことを利用する。 (1)5108577 Ya+ (3) 〔図] このグラフは,(1 に2だけ平行移動したもの 20 log2/10g39 10g33 立 log32- 1 log39 log 2 log34 a 4logax = a 10gx4 x4 (4) y=log4- =- -log4x x log 32\ 2 1 LOS g32- 2 log32 2log32 (3) 81 log310 =(34) log3 10 = 34log 3 10 =3108310 Jei このグラフは,(1) のグラ である。 32 3 3 =- =10=10000 09: -0 210g32 Ug7 (5×7)-(10g57+10g75) (3) 4 参考 与えられた式をMとおき, 両辺の対数をと って解いてもよい。例えば,(2)は次のようにな (4 y (SI+1) - ) ( log75+10g77 ) る。 -log,5) (2) O 2 3 6 x -5+1)-(log,7+log,5) 7.log75 +10g57 ng75 ) M=a4logax とおく。 aを底として両辺の対数をとると って log, M=log, a 4loga x (5) loga M410g xl0gaa 七 =10g y=log44x= [図]

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English Senior High

最後の文のwhat value is B(smellが入ります)の文構造を教えて頂きたいです。よろしくお願いします。

they can s example, follow coastlines and thr When they get very close 4 Mont to where they want to be, many use their sense of smell. anger as Homing pigeons give a clue to this. ("Homing" is not the same as migration. It suggests that pigeons can find their way home when taken by train or truck to some far-distant place and then released. But homing surely has some of the same mechanisms; migration does, and so can give clues to how it works.) It seems that as pigeons get fairly close to their home, they first pick up general smells that tell of bird dwellings-perhaps the general tempting stink of ammonia. As they get nearer, the smells become more specifically pigeon-like. Finally, as they get very close, they recognize the very particular odor of their own flock in its own space. More and more evidence is revealing that humans, too, have a wonderful awareness of odor, even if they do not consciously recognize it, such that they find particular men or women attractive or disgusting according to their primitive substances such as sweat no doubt a cooling thought for human beings have risen above such things. We do not those who like to suppose that (2) normally think of birds as creatures that attach importance to smell, but many of them 。 do, in many contexts. 112055見る形 137. ho doubt, but なるほしだが、 But what use are A clues when a bird is above some apparently boundless ocean? What value is (B) when it is a thousand miles from where it wants to be? What else is there? O is value. air force, havy, army. doy and the moon

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