Product Law : \(\log_{a}{b} + \log_{a}{c} = \log_{a}{(b \times c)}\) Quotient Law : \( \log_{a}{b} - \log_{a}{c} = \log_{a}{ ( b \div c) }\) Power Law : \( \log_{a}{b}^n = n\log_{a}{b}\) Change of base : \( \log_{a}{b} = \frac{ \log_{c}{b} }{ \log_{c}{a} } \)

**Product Law**: \(\log_{a}{b} + \log_{a}{c} = \log_{a}{(b \times c)}\)
**Quotient Law**: \( \log_{a}{b} - \log_{a}{c} = \log_{a}{ ( b \div c) }\)
**Power Law**: \( \log_{a}{b}^n = n\log_{a}{b}\)
**Change of base**: \( \log_{a}{b} = \frac{ \log_{c}{b} }{ \log_{c}{a} } \)

Laws of Logarithm

Laws of Logarithm