1700 Followers Problem

Algebra Level 3

\[\begin{cases} x^3-6x^2+5x=0 \\ 2x^4-11x^3+23x^2-99x+45=0 \end{cases}\]

If \(A\) satisfy the root that satisfy the system of equations above? What is the value of \(1700^{\log_{A}17}-17^{\log_A1700} \)?

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