College Algebra · Module 12 · Logarithms and log equations

Logarithms Walkthrough

A logarithm is an exponent. Watch exponential curves flip across y = x into log curves, see the log rules as stacks of blocks, solve exponential and log equations line by line, and use logs for pH, sound, earthquakes and half-life. Go at your own pace. Nothing here is graded.

Speed

Think of it like this

Quick check

Wrong answers are fine here. Read why, then try again.

Dr. Akash Garg · College Algebra Study Tools · CC BY-NC-SA 4.0
Use the left and right arrow keys to move between steps. Practice next in the Logarithms Lab. On every graph the log curve is purple, the exponential curve teal, the mirror line y = x a dashed gold line and vertical asymptotes dashed red. In the log rule pictures each block is one factor of 2, so the number of blocks is the log base 2. Fractions are written stacked, one number over another. Animations loop so you can watch them as many times as you like.