Lean-Workbook Plus 29456: Logarithmic identity

Proved

WorkbookRestored.plus_29456

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

lean-workbookrestored-importssource-checked

$\log_3(90-3^4)\log_2(76-44)\log_6(1421-5^3)=40$ .

Source: Lean-Workbook row lean_workbook_plus_29456 (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_29456 : Real.logb 3 (90 - 3^4) * Real.logb 2 (76 - 44) * Real.logb 6 (1421 - 5^3) = 40   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_29456; immutable original Prove2Me node 4b1ff3db-76bc-4e00-adfa-076a4ed651d5

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