Prove2Me

Lean-Workbook Plus 50464: Logarithmic inequality

Proved
WorkbookRestored.plus_50464

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

1<log⁡3/log⁡2<21<\log3/\log2<2.

Source: Lean-Workbook row lean_workbook_plus_50464 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble
import Mathlib.Analysis.SpecialFunctions.Log.Basic
open Real
Formal statement
theorem WorkbookRestored.plus_50464 : 1 < Real.log 3 / Real.log 2 ∧ Real.log 3 / Real.log 2 < 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_50464; immutable original Prove2Me node b1b1e0e2-701a-4092-a59c-7d472f23d764

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