Prove2Me

Lean-Workbook Plus 44226: Logarithmic identity

Proved
WorkbookRestored.plus_44226

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

lean-workbookrestored-importssource-checked

5log⁡32+2log⁡910=log⁡3(26⋅5)5\log_3 2+2\log_9 10=\log_3(2^6\cdot5).

Source: Lean-Workbook row lean_workbook_plus_44226 (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_44226 (x : ℝ) : (5 * Real.logb 3 2) + (2 * Real.logb 9 10) = Real.logb 3 (2^6 * 5)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_44226; immutable original Prove2Me node 50e28e65-5a65-483a-bb02-e213d006e204

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