Question

How can we find Lambert W solution to $\dfrac {x\ln x}{\ln x+1}=\dfrac{e}{2}$?

score 434 · Answer 1 · 2026-03-25 21:48:09

434

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How can we find Lambert W solution to $\dfrac {x\ln x}{\ln x+1}=\dfrac{e}{2}$?

Published on 25 Mar 2026 - 21:48

score 239 · Answer 2 · 2023-06-29 16:42:09

239

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score 97 · Answer 3 · 2023-07-03 12:08:56

97

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score 77 · Answer 4 · 2023-07-24 16:01:03

77

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score 218 · Answer 5 · 2023-07-25 02:36:54

218

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score 208 · Answer 6 · 2023-08-09 04:54:05

208

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score 74 · Answer 7 · 2026-03-25 14:20:08

74

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score 140 · Answer 8 · 2023-08-16 21:28:09

140

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score 131 · Answer 9 · 2023-08-20 13:20:24

131

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Does the second positive solution (besides $x = 1$) of the equation $e^{x^2-1}=x^3-x\ln x$ have a closed form?

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score 68 · Answer 10 · 2023-08-24 13:41:34

68

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score 163 · Answer 11 · 2023-09-04 14:29:34

163

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Equations similar to Lambert-$W$ with quadratic exponents

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score 38 · Answer 12 · 2023-09-06 03:17:13

38

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How many solutions for a Lambert W function

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score 205 · Answer 13 · 2023-09-06 18:58:24

205

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score 103 · Answer 14 · 2023-09-21 10:00:25

103

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score 59 · Answer 15 · 2023-09-30 01:19:06

59

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How do you find solutions to the equation $\frac{x}{y^\frac{x}{y}} = 1$, which involves the Lambert W function?

Published on 30 Sep 2023 - 1:19

List Question

How can we find Lambert W solution to $\dfrac {x\ln x}{\ln x+1}=\dfrac{e}{2}$?

Solving an equation using Lambert function

Is Lambert W-function possible for this type of equation?

Equation involving $e^x$ and $x$

Finding a real closed-form solution to a tricky transcendental equation

Help me find the inverse of this function

Interpreting/understanding the lambertW on Maple software

Inverse function for $f(x)=x/(1-e^{-x})$

Does the second positive solution (besides $x = 1$) of the equation $e^{x^2-1}=x^3-x\ln x$ have a closed form?

Using Lambert W to solve for time of flight of a projectile with air resistance

Equations similar to Lambert-$W$ with quadratic exponents

How many solutions for a Lambert W function

Is there an exact solution to $x \sinh\Big(\frac{1}{x}\Big) = a$?

How to solve equation $(ax+b)\exp(x) = (cx+d)$ using Lambert W function

How do you find solutions to the equation $\frac{x}{y^\frac{x}{y}} = 1$, which involves the Lambert W function?

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