List questions from transcendental-equations

Published on 22 Mar 2026 - 11:27

103

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Number of solution of the equation $2\tan^{-1}|x|\cdot\ln|x|=1$ is

Published on 22 Mar 2026 - 12:18

412

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How to solve equations with both logarithms and square roots, like this: $ax+b\log(x)+c\sqrt{x}+d=0$

Published on 22 Mar 2026 - 15:12

194

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Solving for $\lambda$ in $\frac{k\lambda}{\alpha} \,\tan(\lambda R) -1 = 0$

Published on 22 Mar 2026 - 5:41

65

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Express solutions in terms of $\phi$

Published on 22 Mar 2026 - 3:03

255

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An happy coincidence for the approximate solution of $x \tan(x)=k $?

Published on 21 Mar 2026 - 21:52

41

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Existence of unique root of mixed linear/logarithmic equations

Published on 22 Mar 2026 - 12:53

265

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Prove that $e^{\sin x}-\sin e^x\neq0$ $\forall x\in [-1, \pi]$, an equation in the form $f(g(x))=g(f(x))$

Published on 22 Mar 2026 - 14:27

96

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A solution to a transcendental equation

Published on 22 Mar 2026 - 13:31

65

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Special solution to $a+e^a\ln x = x+e^a\ln a = a+e^x\ln a$

Published on 24 Mar 2026 - 22:08

102

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A good approximation for $\arctan(u \tan (v x))$

Published on 22 Mar 2026 - 14:44

132

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Solve $\frac d{dx}W_{-1}(-1/x)=-1$

Published on 24 Mar 2026 - 23:45

158

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Solution for $ y(x) - ae^{y(x)} = f(x) $ involving Lambert W function

Published on 24 Mar 2026 - 23:44

89

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Closed form solutions to a Gaussian equation

Published on 21 Mar 2026 - 21:57

376

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$e^x+x=0$ has countable infinite many solutions

Published on 22 Mar 2026 - 4:06

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How to solve $a^x + b^x = c \exp(d/e) - f$ for $x$

Number of solution of the equation $2\tan^{-1}|x|\cdot\ln|x|=1$ is

How to solve equations with both logarithms and square roots, like this: $ax+b\log(x)+c\sqrt{x}+d=0$

Solving for $\lambda$ in $\frac{k\lambda}{\alpha} \,\tan(\lambda R) -1 = 0$

Express solutions in terms of $\phi$

An happy coincidence for the approximate solution of $x \tan(x)=k $?

Existence of unique root of mixed linear/logarithmic equations

Prove that $e^{\sin x}-\sin e^x\neq0$ $\forall x\in [-1, \pi]$, an equation in the form $f(g(x))=g(f(x))$

A solution to a transcendental equation

Special solution to $a+e^a\ln x = x+e^a\ln a = a+e^x\ln a$

A good approximation for $\arctan(u \tan (v x))$

Solve $\frac d{dx}W_{-1}(-1/x)=-1$

Solution for $ y(x) - ae^{y(x)} = f(x) $ involving Lambert W function

Closed form solutions to a Gaussian equation

$e^x+x=0$ has countable infinite many solutions

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