lean_workbook_plus_26180

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

Manipulate the expression: $\log_{x}a-\log_{x}b=\log_{x}a+(-\log_{x}b)$ and use known logarithm properties to prove $\log_{x}a-\log_{x}b=\log_{x}{\frac{a}{b}}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26180 (x a b : ℝ) (hx : x > 0) (hab : a > 0 ∧ b > 0) : Real.logb x a - Real.logb x b = Real.logb x (a / b)   :=  by sorry

Source

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

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