Understanding Simplifying Logarithmic Expressions
Choose your learning level
Watch & Learn
Video explanation of this concept
concept. Use space or enter to play video.
Beginner
Start here! Easy to understand
Now showing Beginner level explanation.
Beginner Explanation
A logarithm answers the question "To what power must the base b be raised to get x?" For example, since b^1 = b, log_b b = 1, and since b^0 = 1, log_b 1 = 0. These basic facts help with simplifying simple logarithmic expressions.
Practice Problems
Test your understanding with practice problems
1
Quick Quiz
Single Choice Quiz
Beginner
Simplify $\log_2 8$
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Given N = 10000 views and growth rate r = 2, calculate the time t (in days) it takes using logarithmic growth.
Click to reveal the detailed solution for this question exercise.
3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Challenge your understanding by simplifying $\log_5 25 - \log_5 5$.
Click to reveal the detailed explanation for this thinking exercise.
4
Challenge Quiz
Single Choice Quiz
Advanced
Evaluate $\log_3 81 - \log_3 9$
Please select an answer for all 1 questions before checking your answers. 1 question remaining.
Recap
Watch & Learn
Review key concepts and takeaways