lean_workbook_plus_51434

Open

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that $a^{log_bc}=c^{log_ba}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_51434 (a b c : ℝ) (ha : a > 0) (hb : b > 0) (hc : c > 0) : a^(Real.log c / Real.log b) = c^(Real.log a / Real.log b)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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