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 Algebra Pre-Algebra and Basic Algebra Math Forum

 August 13th, 2019, 04:42 AM #1 Newbie   Joined: Aug 2019 From: israel Posts: 1 Thanks: 0 how can I solve x/ln(x)=n Hi, I am working on some program and the answer for this education is very important. Should I use Lambert W-function and if I do then how? Can any one send the steps for solving this problem, for example? x/ln(x)=100 Okay, the answer to this can help me as well: 10t+e^t=100 Last edited by skipjack; August 13th, 2019 at 09:09 AM. August 13th, 2019, 06:30 AM #2 Senior Member   Joined: Dec 2015 From: somewhere Posts: 708 Thanks: 96 Apply Lambert W-function. (1) $\displaystyle \: W_{0} \left(-\frac{\ln x}{x}\right)=-\ln x$ for $x  August 13th, 2019, 09:05 AM #3 Global Moderator Joined: Dec 2006 Posts: 21,015 Thanks: 2250 For the first problem,$x = e^{-W_0(-1/100)}$or$e^{-W_{-1}(-1/100)}$. For the second problem, the real solution is$\displaystyle t = 10 - W\!\left(\frac{e^{10}}{10}\right)\!\$. Thanks from topsquark Tags solve, x or lnxn Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post gen_shao Algebra 12 November 2nd, 2014 06:11 AM

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