Math
Logarithm Rules
What is the Logarithm Rules?
Product rule for logarithms
This formula is widely used in math applications. Understanding when and how to apply it helps you interpret calculator results correctly and catch input errors before they propagate.
Formula
log(xy) = log(x) + log(y)
Substitute known values into the formula above. Ensure all variables use consistent units before calculating.
Worked Example
log(10)+log(2)=log(20)
Use the linked calculator below to try your own values and see step-by-step working.
When to Use This Formula
Apply the Logarithm Rules when you need to product rule for logarithms. It is a standard reference in math coursework, professional practice, and our linked calculators.
Tips & Common Mistakes
- Apply order of operations (PEMDAS) consistently.
- Round only at the final step unless instructed otherwise.
- Always verify critical results independently for engineering, medical, or legal applications.
Related Calculators
Further Reading
Browse the Formula Library for related formulas, or read educational articles on our Blog.