Using calculus (or algebra), how would I solve an infinite exponent tower such as this?
$$c_0x^{c_1x^{c_2x^{c_3x^{.^{.^.}}}}}=a$$
Where $c_0=1$ and $c_{n+1}=\frac{c_n}{2}$ for $n=0,1,\ldots$ and $a>0$.
2026-03-27 14:29:24.1774621764
How can I solve this infinite exponent tower?
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