(* Authors: Wenda Li *) theory amc12a_2010_p11 imports Complex_Main "HOL-Computational_Algebra.Computational_Algebra" begin theorem amc12a_2010_p11: fixes x b :: real assumes "0 < b" and "7 powr (x + 7) = 8 powr x" and "x = ln (7^7) / ln b" shows "b = 8 / 7" sorry end