Lean-Workbook Plus 30757: Logarithmic identity

Proved

WorkbookRestored.plus_30757

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

lean-workbookrestored-importssource-checked

$(\log_2 9)(\log_3 7)(\log_7 8)=6$ .

Source: Lean-Workbook row lean_workbook_plus_30757 (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.Base
open Real

Formal statement

theorem WorkbookRestored.plus_30757 : (Real.logb 2 9) * (Real.logb 3 7) * (Real.logb 7 8) = 6   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_30757; immutable original Prove2Me node 435ce9cc-c79a-4bf9-abcf-d780bde8af8b

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