- $ {\\\log _a}\\\frac{x}{y} = \\\frac{{{{\\\log }_a}x}}{{{{\\\log }_a}y}}$.
- $ {\\\log _b}x = {\\\log _b}a.{\\\log _a}x$.
- $ {\\\log _a}\\\left( {x + y} \\\right) = {\\\log _a}x + {\\\log _a}y$.
- $ {\\\log _a}\\\frac{1}{x} = \\\frac{1}{{{{\\\log }_a}x}}$.