Mathematics - Functions - Logarithmic - Properties of logarithms - Log Laws Discovery
Show a calculator-like interface. Student calculates: log(2)≈0.301, log(3)≈0.477, log(6)≈0.778. Ask: 'Notice anything? log(2)+log(3) = ?' (0.778 = log(6)!). Now try: log(4)+log(5) = ? (log(20)!). And: log(8)-log(2) = ? (log(4)!). The student discovers the product and quotient rules experimentally be