Definition: A logarithmic function is a function in the form:
where b > 0 and b ≠ 1.
The inverse of exponential functions, logarithms (logs) are another way to write exponents.
When the base of a log function is 10, it is often written without a base.
When the base of a log function is e, it is known as a natural logarithmic function:
Looking for properties of logarithms or log rules? See our Properties of Logarithms page.
Example: Solve for a:
Step 1: Keeping the following rule in mind, this equation can be rewritten to help us solve for a:
Step 2: Simplify to find a:
Still need help with logarithmic functions? Download Yup and get help from an expert math tutor 24/7.