Touchy Problem

Algebra Level 4

Find the number of real solutions of the equation log ( x 1729 ) [ x 3458 ] x 4 + 84 x 3 + 1969 x 2 + 13146 x 15198 = 1 \large \dfrac{\log_{ \left( x^{1729} \right) } \left[ x^{3458}\right] }{x^4+84x^3+1969x^2+13146x-15198}=1

More than 4 1 0 4 3 2

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