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Logarithms

Logarithms rules

RuleFormula
Productln(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)
Powerln(xy)=yln(x)\ln(x^y) = y\ln(x)
Reciprocalln(1x)=ln(x)\ln(\frac{1}{x}) = −\ln(x)

Special cases

  • ln(e)=1\ln(e) = 1
  • ln(1)=0ln(1) = 0