(2±problem)x(2 \pm \sqrt{\mathfrak{problem}})^x

Algebra Level 3

Find the non-zero xx satisfying (23)x+(743)(2+3)x=4(23).\large(2- \sqrt{3})^x+(7-4 \sqrt{3})(2+ \sqrt{3})^x=4(2- \sqrt{3}).

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