Compfiles: Catalog Of Math Problems Formalized In Lean

Singapore2019P4


import Mathlib

/-!
# Singapore Math Olympiad (Senior) 2019 (Round 1), Problem 4

http://www.realsutra.com/limjeck/SMO_Senior_2019.pdf

If $\log_{21} 3 = x$, express $\log_7 9$ in terms of $x$.
-/

open Real

namespace Singapore2019R1P4

noncomputable /- determine -/ abbrev solution (x : ℝ) : ℝ := sorry

theorem singapore2019_r1_p4 (x : ℝ) (hx : Real.logb 21 3 = x) :
    Real.logb 7 9 = solution x := sorry

This problem has a complete formalized solution.

Open with the in-brower editor at live.lean-lang.org: