MathematicsGeneralLogarithmsLogarithms Logarithms rules RuleFormulaProductln(xy)=ln(x)+ln(y)\ln(xy) = \ln(x) + \ln(y)ln(xy)=ln(x)+ln(y)Quotientln(xy)=ln(x)−ln(y)\ln(\frac{x}{y}) = \ln(x) − \ln(y)ln(yx)=ln(x)−ln(y)Powerln(xy)=yln(x)\ln(x^y) = y\ln(x)ln(xy)=yln(x)Reciprocalln(1x)=−ln(x)\ln(\frac{1}{x}) = −\ln(x)ln(x1)=−ln(x) Special cases ln(e)=1\ln(e) = 1ln(e)=1 ln(1)=0ln(1) = 0ln(1)=0