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:
Here are some log function rules:
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:
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