指数関数に関しての質問です。考え方のところに任意の底で両辺の対数をとるとありますが、(1)では底5と底2で対数を取り、(2)では底10で対数をとっています。この任意の底が何なのか求める方法はありますか？

326 第5章 指数関数と対数関数 Think ***** 例題 163 対数の計算 (3) (1) α=5logz3+1 のとき, 40gza の値を求めよ.agolo ( 上智大) 1 1 1 (2) 2'3'5'30 のとき, + の値を求めよ of (成城大) 1 2 x y (log103+log1010) (2) 2'30 について, 底10で両辺の対数をとると log102=10g10/30 x log102= log(3-10). まずxの値を求める. dec mulo 2 対数と対数関数 327 x=- 5 (3) X=logis150,Y=2 logs/0/+1/2 3 3 8 +1/10g2g とする. log102 _log103+1 31ogi2 1 このとき, 10g23=a, log25=bとして, X, Y を a, b の式で表せ したがって 3log102 x log103+1 (名城大) 11 の逆数 同様に (2) 2'3/30について, 任意の底で両辺の対数をとって 任意の底で両辺の対数をとゑ 考え方 (1) の値はXとおいて、任意 別解では αlog MM を利用. (p.328 Column 参照) 3log105 log.30 log 2=log. 30-xlog.2=- 2=1/10g30 x= log.2 変形する. 解答 (1) 5logs3 X とおいて,底5で両辺の対数をとると, log55log 310g5 X -DE log2 3 logs5=logs X log2 3=10gsX log53 -=logsX logs25 /log:3=log:X まず5l0gs3 の値を求 める. loga M'=rlog.M logs5=1とな 底を5にそろえる。 |logs25=logs5°=2 (3) X = log15150 log2 150_log2(3・52・2) logz3+2log5+log: 2 5 y 1 よって, x y Z _310g 103+login10) log103+1 3(log103+1) log103+1 =3 log215 a+2b+1 log2(35) log23+log25 a+b y z も求めると 3log103 1 log103+1'z log103+1 1_1_3(login2+10g103+10g105) logo3+1 7h3J5 30 が共通なので、 分母が等しくなる. logio 2+logi05 |=log101 |log:3a, log25=b なので、底を2にそ 第5章 ろえる. logs3=logsX したがって,X=3=3 なので、 α=5log 3+1=√3 +1 log,O=log.A is pol+6.gol⇔O=△ 次に, 40ga=Yとおいて,底2で両辺の対数をとる 4logza を簡単にする。 と、 Dol+vol log24l0gzalog2Y log2a log24=log2Y 2log2a=log2Y 4585 000 log4=log,2 log2a2=log2Y よって,Y=α より, 4log:a=α²= (√3+1)^2=4+2/3 (別解) 10g3= log$3 1 log:25-2logs3=logs√3 =2 したがって, α=5logs√3+1=√3+1 go ww よって, m 4log:a22logza=2log = o² =√3+1)^2=4+2/3 wwwww 2logia=α² Focus Y=3³log2+ log2 3 88 28 (log23-10g22°)+20 (log25-10g2) =(a-3)+(6-3) =a+3b-3 logoc a この値は, alogic=Xとおき, 両辺の対数をとる 対数の定義 alog MM (a>0, a≠1,M> 0) 練習 1 3log25 [163] (1) この値を求めよ. /2 *** ( 青山学院大 ) (2) a,b,c を正の数とすると11+2a.b.c xyz (福岡大) (3)a=log3.blog5 とするとき 10g30 を a b を用いて表せまた, 21+0 および、底が2の対数を用いて表せ の値を求めよ. (大阪工業大) ➡p.34712

会話文の内容教えて欲しいです、お願いします

(1 3 Choose the best answer to fill in the blanks. (1) bnu erit ee (1) A: Thank you for your help. I think I understand what to do now. B: You're welcome. If you have any questions, please don't ( 1 expect 2 have 3 hesitate (2) A: Will you be able to make it tomorrow night? B: It depends. I have a few things to do. A: ( ) min ④ want B: Well, I have to finish writing my report. ni sonu bus tou 1 Such as? (3) Bill : Hi, Tom! 2 How well? ich 3 How much? ere ne bed ow n) to ask. cal odt boval of So do you. 1891 19 or ejeriT ob of am not boty a show to bail eld age her mind. Tom: Hi, Bill! I didn't expect to see you here. you last. (int) edmund Bill: It has been a long time since I saw you Tom: Not bad. I just got promoted last month. 1 How do you do? 1979 oqmi jeom 3 How are things going with you? out grived 18 algos en ter on to work 2 Where do you work now? to 900 call to som ni naituloverod 4 When did we meet the last time?

添削お願いします🙇

(1) 私たちは,生活している中で知らずしらずたくさんの道具を使っていま す。 [出典] 井田典子 『心と住まいが整う 「家事時間」』(マガジンハウス, 2019年) 知らずしらず without being aware of it / without realizing it [新潟大†] We use many instruments without in our everyday Fives realizing it. (2) 今日友人が日曜日に訪ねてくるというメールを受け取った。 [明治大 *] I received e-mail that friend is going to visit me Sunday today. (3) まだ決めていませんが、映画を見に行こうかと考えています。 [学習院大*] I haven't decided yet, but I'm thinking of going to see a movie. (4)私は,以前自転車で通勤していましたが,今ではバスを使っています。 [ 日本女子大 ] メール Cemail / Ce-mail 映画を見に行く go to (see) a movie / go to the movies 通勤する go to work / commute (to work) I used to go to work by bike but now I use by buc. (5) 忙しすぎて家族と過ごす時間が十分にないと多くの父親がこぼしている。 they are Many for thers complains that they too busy [熊本県立大 ] to have enough time to spend with their family. こぼす→不平を言う complain that S'V'/ complain of [about] 名詞 37

教えてくださいm(_ _)m

っと く まずだよ。 first time? When did you play the guitar for the P4 I think it was about 21 Try it out! 内の語句を並べかえて、英文を完成させましょう。 1. My father bought some yakitori for me, but when he came home, (dinner/I/ had already/finished). 2. We (about/worried / had / been / him/ until) he showed up. He finally arrived three minutes before the train left. 3. I (a letter / a foreign country / never / sent / had / to) before I wrote to him. Lesson 4 4. We (for / walking / had four hours/been) when we finally reached the top of the mountain. 5. I didn't (gone /home/she/know / had / that). I thought she was still here. 6. (will / my little brother/ have / asleep / fallen) by the time I get home. ]に与えられた語を適切な形に変えて英文を完成させましょう。 1. When the guest came, she cooking. [just / finish] 2. I plan to go to the museum every month. By the end of the year, I there more than ten times. [be] 3. They han ten eqx each other for five years when they got married. [know]

合ってるか分からないので確認してもらいたいです。間違ってる場合はお手数ですが、どこがなぜ間違ってるのか教えて貰えると助かります。お願いしますm(_ _)m check①②

TION -1 オーストラリアの高校生エイミーが、 オンラインで話をします。 人懐っこいクオッカ カンガルーのように跳ぶクオッカ OPIC 二生息 特徴 ■ ] Lustralia 「ヤ] ド] -] ド] 6 Hi, everyone! animal in Australia. STUDY IT! Let me show you a cute p.23 Look at these pictures. I wonder if you've seen this animal before. It's a quokka. It lives only in the marshy areas of Western Australia. It has a round body and is as big as a cat. It's a marsupial animal and has long strong legs like a kangaroo. So, it can bound along quickly. 「オーストラリア」 (南半球にあるオーストラリア大陸とタスマニア島などからなる連邦国) クオッカ」 (有袋類の動物、 オーストラリアの固有種) 5. Western Australia 「西オーストラリア州」 ong 「跳ねて進んでいく」 D CH kangarooの語源については、外国人にカンガルーの名前を尋ねられた人がオーストラリア先住民のことば で「わからない」と答えたら、それが「カンガルー」と聞こえて誤訳されたという説がありますが、これは誤りで す。実際には、オーストラリア先住民のことば gangurru (跳ぶもの)に由来しています。

下線部最後のassume they were forの文構造が分からないので教えて頂きたいです。よろしくお願いします。

15 Manipulatill of than tinkering* with the initial genetic blueprint. from new discover For with a true (4) > understanding of how human brains work will come one of what they un 哲学 are really for--and that is not necessarily what traditional philosophers, religious scholars, economists and other non-scientific intellectuals have assumed they were for. Pre-biological thinking has emphasised human uniqu

英文の添削お願いします🙏🏻 英検のエッセイ練習で書きました。

Topic Agree or disagree: People will stop subscribing to printed newspapers in the future. I agree with the idea that people will stop subscribing to printed newspapers in the future. I have two opinions why I think so. First of all, to print newspapers uses a lot of papers. They are made by wood that is important nature material. The kind of nature things has limit to use, so we should not use them too much. The plants also play role in the keeping air clean. This is the reason why I think it is bad for environment. Secondly, the printed newspapers are too big to carry. Thesedays we can get it online and we cand read it all the time wherever you are. For example on the train, in office, in café and so on. For these reasons, I think people will stop subscribing printed newspapers.

英語でお願いします！！！

NUMBER 6 Describe What You See 次の絵を見て、何が描かれているか説明しましょう。 ex) There is/are ... I can see... NUMBER 7 Let's Make A Story! 彼らは何をしていると思いますか? 自由に考えてください。 ex) I guess... I think...

教えて欲しいです。単元は動詞の語法です

1. When I realized I was wrong, I apologized ( Dhim my mistake 3 to him my mistake him for my mistake to him for my mistake 2. I graduated ( ) high school in 2015.m 1 from duo@for 3. We ( ) the problem of poverty. ①discussed 3 discussed of インター bist 4. Do you think I ( ) my elder sister? Dresemble resemble with (立正大) 4 of ③at de (酪農学園大) discussed about the discussed with して楽しめる b biabidea (東洋大) 3 resemble for b①am resembling 5. Kate () her baby boy on the bed after dinner. bid oa ed or blu ①laid lain give/tal 3lay 9131 (京都産業大) lie blow- em evig bnim LOV (広島修道大) ①raise ②rise wwo no alim to no 6. Please ( ) your hand if you want to ask a question. to baim w prey set up hard ratake up Sunda tegral 'nob 98819 7. Because of the bad weather, I decided ( ) out. ①not to go vud king/from home last night, to not going ③not going ④going not yud o (清泉女子大) guinisque beringsr 8. The repair shop failed ( ) my car. (東北芸術工科大) ①to fix 2 to affix ③fixed ④fix Ieva un baimer) Botong sandT 9. There was a big fire yesterday. Fortunately, everybody managed (). 011 (亜細亜大) Descape escaped Bevig 3 would escape aDob to escape 10. I closed my eyes and pretended ( ) asleep. o be Last wee toob edT 880 of Obe evig(玉川大) being 3 of being to be toy mailliW bus arrotiv 280 (to) during the exam.

Note also that if we think in terms of connotations, ‘fair treatment’ has very positive connotations. という文について、Note also that を文法的に説明していた... Read More