(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve for t: [tex]t^{t^2}=k[/tex]

2. Relevant equations

[tex] Y=Xe^X \iff X=W(Y) [/tex]

3. The attempt at a solution

[tex] t^{t^2} = k [/tex]

[tex] t = k^{1\over t^2} [/tex]

[tex] t = e^{{1\over t^2} ln (k)} [/tex]

[tex] {1\over t} ln(k) = {1\over t^2} ln(k) e^{{1\over t^2} ln(k)} [/tex]

[tex] t = \sqrt{ln(k)\over {W({{1\over t} ln(k)})}} [/tex]

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# Homework Help: Equation: solve for t.

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