ACT® · Math: Functions — Exponential and Logarithmic Functions
Product, Quotient and Power Laws for Logarithms
Watch it explained
- How it worksHow does the rule for multiplying powers become the log product law?
- Worked exampleFind log(8) + log(125) as a single logarithm and evaluate it in base 10.
- Worked exampleFind the value of log base 2 of 40 minus log base 2 of 5.
- Common mistakeWhy doesn't the log of a sum equal the sum of the logs?
- Going furtherWhat happens to the power law when the exponent inside the logarithm is negative?
Check yourself
Your turnmedium1 of 3
Find the value of log base 2 of 145 minus log base 2 of 7, rounded to three decimal places.End of topic.