Question
$$12000 = 8000x^{17}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 12000 &= 8000x^{17}&& \text{move all terms to the left hand side } \\[1 em]12000-8000x^{17} &= 0&& \text{simplify left side} \\[1 em]-8000x^{17}+12000 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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