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Ejx cxg. Title SEC Complaint Luckin Coffee, Inc Author US Securities and Exchange Commission Keywords Date 1216 Created Date 10/11/19 AM. Proof lnexy = xy = lnex lney = ln(ex ·ey) Since lnx is onetoone, then exy = ex ·ey 1 = e0 = ex(−x) = ex ·e−x ⇒ e−x = 1 ex ex−y = ex(−y) = ex ·e−y = ex · 1 ey ex ey • For r = m ∈ N, emx = e z }m { x···x = z }m { ex ···ex = (ex)m • For r = 1 n, n ∈ N and n 6= 0, ex = e n n x = e 1 nx n ⇒ e n x = (ex) 1 • For r rational, let r = m n, m, n ∈ N. Y c C X g p e N m W ̐^ 𔭊 o b N n h ʁz o b N ʂł̃V b g ł͏㑤 ̃V t g J Ă \ ɂȂ A C p N g ̍ۂɃt Ȃ Ė߂铮 ܂ B t H A Ɣ ׂăX E B O ̂̓ o b N n h ł́A t H A Ɠ 悤 ɑ傫 X E B O 鎖 ͕s \ ł B ̃o b N ̃X E B O ̃p s t ̂ Ȃ Ɩ߂肪 { Ď菕 Ă 邽 ߁A 肵 { \ ɂ ܂ B.

Y C u h A E j X @09 09 z AP ʐM ɂ ƁA C X G 9 A } O j ` h iM j49 ̒n k B n f B A ɂ ƁA ܂ł̂Ƃ n k ɂ Q ̕񍐂͂Ȃ B h ͓ S ɉ A _ 쐼 ݒn ł ꂽ Ƃ B y z. Proof lnexy = xy = lnex lney = ln(ex ·ey) Since lnx is onetoone, then exy = ex ·ey 1 = e0 = ex(−x) = ex ·e−x ⇒ e−x = 1 ex ex−y = ex(−y) = ex ·e−y = ex · 1 ey ex ey • For r = m ∈ N, emx = e z }m { x···x = z }m { ex ···ex = (ex)m • For r = 1 n, n ∈ N and n 6= 0, ex = e n n x = e 1 nx n ⇒ e n x = (ex) 1 • For r rational, let r = m n, m, n ∈ N. THANKS GIVING DAY 35 N ʃC x g @5/295/30 ҃v ɂ N j b N B ڍׂ͌ e j X N u f ɂĂ ē ܂ B.

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Solving Equations with e and ln x We know that the natural log function ln(x) is defined so that if ln(a) = b then eb = a The common log function log(x) has the property that if log(c) = d then. I x i E J g C ͍ ё w I g I v W F N g ̂ ƂɊ I g I c ł B I x i E J g C @ @Oberliner Kantorei, Tokyo N @ ₢ 킹. G(x) would mean that the function is called "g" Most of the time, the first time you are introduced to this notation, "f" is used because it is the letter that starts the word "function" and this helps you make the connection.

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A ` C Wine Price List X V ̃y W ̕\ i ͐ō ݂ɂȂ Ă ܂ B. ・ n c x ・a n c x ﾔ e w v ・・ x ・・b o h ` f l e ` f l e o ept n u e n x t @ c e300c e { c w ・・ ・・_ ・・・a. Formulas from Trigonometry sin 2Acos A= 1 sin(A B) = sinAcosB cosAsinB cos(A B) = cosAcosB tansinAsinB tan(A B) = A tanB 1 tanAtanB sin2A= 2sinAcosA cos2A= cos2 A sin2 A tan2A= 2tanA 1 2tan A sin A 2 = q 1 cosA 2 cos A 2.

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Formulas from Trigonometry sin 2Acos A= 1 sin(A B) = sinAcosB cosAsinB cos(A B) = cosAcosB tansinAsinB tan(A B) = A tanB 1 tanAtanB sin2A= 2sinAcosA cos2A= cos2 A sin2 A tan2A= 2tanA 1 2tan A sin A 2 = q 1 cosA 2 cos A 2. E j X N u E R g E g ̌ V b v X A B N W A Q Ȃǂ̃e j X T C g B e j X p g o 쐬 B e j X X L TennisCcom TennisClub ACircle ACourt ACompany ACamp ACoach Ȃ. J o g ҂ɂ 郁 Z f X x c X g A ƃJ X ^ } C Y s Ђł B U V g { H A p i J A A Ɩ ܂.

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