What will be the approach of finding $n$, where my equation is $$n\log_2n = m$$
I am trying to reaching solution like ,where n = eqn . A simple approach would be very much helpful.
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Larry
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You might want to take a look at Lambert W Function. (You can Google it) – Jaideep Khare Sep 30 '18 at 11:16
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Here is a link: Lambert W Function. – robjohn Sep 30 '18 at 11:21
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n = (m Log[2])/ProductLog[m Log[2]] – Mats Granvik Sep 30 '18 at 11:55
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1Are n & m real? If you want a closed form, you need the Lambert W. If you just want to compute n, and you don't have the Lambert W, and you don't need to handle complex or negative numbers, then Newton's method normally converges fairly quickly (although inverting $y = x^x$ via Newton's near $x=e^{-1}$ is slow). – PM 2Ring Sep 30 '18 at 12:04