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Could this approximation be made simpler ? Solve $n!=a^n 10^k$

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#inequality #numerical-methods #approximation #factorial #lambert-w
159
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Solve $\exp(x)(5-x)=5$ by hand

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#calculus #exponential-function #lambert-w
1.1k
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Proof of strictly increasing nature of $y(x)=x^{x^{x^{\ldots}}}$ on $[1,e^{\frac{1}{e}})$?

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#calculus #derivatives #tetration #lambert-w #hyperoperation
196
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Finding the inverse of the function $f(k, x) = k^{x}x.$

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#functions #special-functions #inverse #lambert-w
162
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Solving an exponential function

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#exponential-function #lambert-w
1.6k
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Why is it that the Lambert W relation cannot be expressed in terms of elementary functions?

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#special-functions #elementary-functions #lambert-w
302
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Solving $x - a \log(x)=b$

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#calculus #logarithms #closed-form #lambert-w
112
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How could I solve $x^{t-1}e^{-x} = a$ for $x$?

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#exponentiation #gamma-function #lambert-w
171
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What is the solution of $a^b=a+b$ in terms of $a$?

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#exponential-function #lambert-w
101
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Solving for $x$ in $M ^ {M ^ M} = x ^ {1 / (x-1)}$ where $M = 5 ^ {\sqrt{5} / 10}$

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#algebra-precalculus #roots #lambert-w #power-towers
295
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Find the roots of a function with logarithms (possibly using lambert W function)

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#logarithms #roots #lambert-w
69
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simplification of $W(x\cdot e^{a+x})$

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#lambert-w
108
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Is the following solvable for x?

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#exponential-function #exponentiation #lambert-w
3.7k
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Using Lambert's W Function to solve this equation

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#algebra-precalculus #lambert-w
61
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Doubt in raising a power to a complex number

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#limits #complex-numbers #lambert-w #tetration

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