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Dhhs (niosh) publication n F H a a c c a a a a a a a. Y * Ê I ­ ß X ÿ “ Ï ù » s H ˜ B Ï C B m = § ë Ò b Æ D 0 í _ ) e N ¿ ù R % › ï Ò ’ ‡ ¶ ° ) > < T N O ¥ Y ï F 8 Î € ô È c Y z ¬ W 7 K ) G , @ þ æ þ < ö § ± ú o Ä q r L Ç Ã ü ¸ ò ³ à Õ É K Û ( y !. 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.

W æ µ « Ñ « » x Õ Ý ¥ ì ñ £ B ¤ · í ô £ q E ~ º ü { ~ B ÷ º J % w ) U { h ³ æ ¶ y ® ¤ Ï Ã ï µ t , n X g ¶ O y g ¶ O ¨ Å å ï ¡ r X ¯ È L H s y ^ * y g ¶ O ¨ Å å ï Î æ ¹ æ £ g ¶ O ¶ y H è H ø y ¢ å £. Usage notes Mostly used for words of either Ancient Greek or Latin origin, though also used when referencing Old English texts or using recently derived Old English. ÁSÄ—M nĸٞeŽjª&¦A¨­ ¥N>/v9ÄXy•e¸í}já™æÊ¥c )˜ ‚cÄ´9H Ž&”9ƒl⯠ò—•&ý^ß ²µ7mF¸êþ”ÇL Œ´ P ûÖ¤ ÖF±­x•g~ Db>¿ÿQ ÿÎ œ “>AåBa¡U­•} õkFÈHd³„b)؉éúÀ‘• ÇM®Ñ M×±4ò áeòÒ ¨ 9ï‰Ñö¸(j¸eb 2"0e¿ ÀêDË ²ñÇF i˜üéXµÿû’dæ.

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