Final answer:
The two properties of logarithms are the product rule and the quotient rule.
Step-by-step explanation:
Two properties of logarithms are:
- Product rule: log(xy) = log(x) + log(y) and ln(xy) = ln(x) + ln(y)
- Quotient rule: log(x/y) = log(x) - log(y) and ln(x/y) = ln(x) - ln(y)
These two properties of logarithms help simplify calculations involving products and divisions of numbers using logarithms.