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  "body": "\n## Statement\n\nFor all real $x \u003e 0$ and $y \u003e 0$,\n$$\\ln \\frac{x}{y} = \\ln x - \\ln y.$$\n\n## Remarks\n\nApply the [[product rule for logarithms|0K2FNY6DYV]] to $x = \\frac{x}{y} \\cdot y$.\nWith $x = 1$ it gives $\\ln(1/y) = -\\ln y$.\nMathlib states it as `Real.log_div`.\n\n## Explanations\n\n### L1 human\n\nThe logarithm of a quotient is the difference of the logarithms.\nDivision becomes subtraction.\n",
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