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$ e^x=5x $ Then $ x=ln(5x) $ Or $ x=ln(5)ln(1\frac{x}{5}) $ Linearizing the second RHS term gives $ ln(1\frac{x}{5})\approx\frac{x}{5}O(x^2) $ Hence an approximate answer for x is obtained by $ x\approx ln(5)\frac{x}{5} $, yielding $ x\approx\frac{5}{6}\cdot ln(5)=134 $ Compared to the answer obtained by the Lambert Wfunction. @ / ·L &b à \?. ÿ å ä § Õ é I Þ Ú ý é 'Î Æ å ¿ ö!ª æ!ã ñ å)G ¿ ÿ5¸ Ç Ò Ú Ç ´ Ú ' ù Ú 1ñ æ Ó å ä é!ã Ç I Þ Ú ' ê Ô Ë æ5.
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