学年

教科

質問の種類

数学 高校生

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

解決済み 回答数: 1
英語 高校生

全然わからないです😭 1問でも教えて頂けたら嬉しいです…🙏

Lesson 3. Palliative Care 部突破! いま最もアツく、最もイカ Medical treatment / Health STEP P 1 Read the Article Let's learn about palliative care, medical care that relieves pain, symptoms and stress caused by serious illness. 1) Palliative care, form of health care that seeks to improve the quality of life of patients with terminal disease through the prevention and relief of suffering. It is facilitated by the early identification of life-threatening disease and by the treatment of pain and disease- associated problems, including those that are physical, psychological, social, or spiritual in nature. As defined, palliative care begins at the point of diagnosis of terminal disease and can be delivered in a variety of health care settings. In general, it involves health and social care professionals working in hospitals, communities, hospices, and voluntary sectors. 2) Palliative care has been associated with many different terms, including terminal care, care of the dying, end-of-life care, and supportive care. However, these forms of care are not necessarily the same as palliative care. Likewise, palliative care is also sometimes described as hospice care. While hospice care does imply palliative care, it is specific to care provided near the end of life. In contrast, palliative care covers the duration of a patient's illness and, hence, may be delivered over the course of years. 3) Palliative care emphasizes three main principles: 1) A team-based approach is fundamental in managing distressing symptoms, such as pain, nausea, fatigue, and depression. It is also a necessary component in meeting the physical and psychosocial needs of the patient and his or her family. 2) Dying is a normal process. Symptom management is needed in order to help patients live life to the fullest until they die. 3) The synthesis of physical care with psychological and spiritual care fulfills a vital role in the overall care of the patient. 4) Palliative care is a global concern, and a steady rise in the number of people who are living longer with degenerative disease suggests that demand for palliative care services will increase in the are areas of intense. developments such Standards Framewo and Palliative Care Indian Association health care profes intended to help physical and psyc 5) In some place For example, the and has identifie framework is int days of life. Its communication, their families, a palliative c diagnosis duration: nausea H Log in to Watch th Hear resear the 2020 co

回答募集中 回答数: 0