Logarithm


THEOREM (Product rule)    $$\log_xA + \log_xB = \log_xAB$$

Proof available

THEOREM (Power rule)    $$c(\log_xA) = \log_x\left(A^c\right)$$

Proof available

THEOREM (Quotient rule)    $$\log_xA - \log_xB = \log_x\dfrac{A}{B}$$

Proof available

THEOREM (Change of base formula)    $$\log_ax = \dfrac{\log_bx}{\log_ba}$$

Proof available

Proper supersets