ï k x p i x § s h g n n k u p g § q x i s j iProof 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 ∈ NMy own overlyfanciful suggestion is to take the onreading of Ui's name kanji (憂, 'yuu', "grief"), add it with the radical for 'person' (as the "I") which will become 優, the kanji for "gentleness", Ui's character in whole (This is ultimately why Ui was given that "depressing" kanji as her name in the first place, she "warms up to people Word Achivos En Caja Ikus solutions
