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Mathematics Senior High

(2)についてです。 赤線が引いてある、底の条件とは何のことでしょうか?

Check 例題 176 対数方程式 (2) 次の方程式を解け. (1) 2(104x2+log4x-6=0 考え方 対数 10gax=tとおいて, tについての方程式を解く. 解答 Focus (2) 底に文字xを含んでいるので、底の条件も忘れないようにする. 底はxではなく3にそろえる。 (1) 真数条件より, x>0 ...... ① 2(10g4x)+log4x-6=0 log4x=t とおくと, 2t2+t-6=0 (t+2)(2t-3)=0 より, t=-2, (2)) log39x-6logx9=3 Bogot であるから, t=-2のとき, 10g4x=-2 より, 16 NEOD t= =1/2のとき,log.x= =23より、x=432=2=8 これらは①を満たす. よって, 8 160 (2) 真数条件より, 9x>0 つまり、 かつ、底の条件より, x= 0<x<1,1<x ...... ① 両辺に10g3 x を掛けると log39x-6logx9=3 10g39 log39+log3x-6×- =3 log3 x 3 2 x=4-21 x>0 0<x<1,1<x< x= 210g3x+(10g3x)2-6×2=310g3x +)(pol-(S-2) gol 全国大会 10g3x=t とおいて整理すると t2-t-12=0 (t+3)(t-4)=0 より, t=-3,4 I>(x-1) or t=-3 のとき,logsx=-3より, t=4 のとき, 10g3x=4より, x=34=81 これらは①を満たす. よって, =27.81 x=3-3- = 1 27 D\x>0, x=1&D, xx まず、真数条件 違いに注意!! (log4x) 210gx2 tはすべての実数値を とる. tの2次方程式 tの値からxの値を求 める. 0% 08- *** logaM=pM=d² まず、真数条件と底の 条件 0<x<1,1<x loga MN =logaM+logaN 底の変換公式 log39=10g332=2 tは0以外のすべての 実数値をとる. tの2次方程式 tの値からxの値を求 める. loga M = p⇔M=d² まず 10gax=t とおいたの方程式からtの値を求める #30 Dr (おき換えたら範囲に注意)(ael. 第5

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English Senior High

(A)の問題の(1)~(6)までの答えと訂正した回答を教えてほしいです。よろしくお願いします。

【4】 次の設問 (A), (B) に答えよ。 (配点 30> (A) 次の(1)~(6) の各英文には、下線部ア~エのいずれか1つに文法・語法に関して不 適切な あるいは文意を通らなくする箇所が含まれている。 その下線部の記号を記せ。 ア (1) It is estimated that the surface temperature of our planet has been risen by about half a degree Celsius, compared to a hundred years ago, and some scientists believe it's going to get warmer yet in the years to come. (2) In English-speaking cultures, children are often told to say "please" when asking for something. By so doing, they are more likely to be given イ permission than they do not. If they don't, their parents give them a hint, by asking them " What's the magic word?" Trying to forecast weather is incredibly complicated. Some scientists P believe that no matter how advanced science is, weather is impossible to イ predict it accurately, because there are too many random elements involved. (3) Inuits are a related group found in Alaska, and also in Canada and Greenland. They are thought to have spread into North America from Siberia many thousands years ago. In both the US and Britain these people are ウ often called Eskimos but the name Inuit is now preferred and is becoming more widely used. 5) The Cold War is a term for the political conflict between the capitalis countries of the West and the Communist countries of the East that begar 7 after World War II. Both sides had large military forces which were kep イ ready for war, and threatened at each other with nuclear weapons. I

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