Properties of Logarithms Coloring Activity | Expanding and Condensing Logs

Description

Give your students meaningful practice with the properties of logarithms using this engaging expanding and condensing logs coloring activity. Students rewrite each logarithmic expression using the product, quotient, and power rules, then match it to the correct expression on the hot cocoa mug and color the corresponding section. This activity reinforces expanding and condensing logs in a fun, structured way that helps students master equivalent logarithmic expressions.

This resource includes 10 core log-property problems that require students to expand, condense, or rewrite logarithmic expressions. Students then identify the matching expression on the mug and color according to the directions beside each problem. Blank sections may be colored freely, allowing for creativity and personal flair.

A second version of the activity is included for teachers who want to extend or differentiate the lesson. Version 2 uses the same ten problems but also has students evaluate four of the expressions numerically and complete four additional natural log (ln) expansion/condensing problems. Students still color the mug using the original problems, and the add-ons provide deeper practice and flexibility.

What’s Included
10 log-properties rewrite problems
Hot cocoa mug coloring page
Student directions + workspace
Version 2: 4 evaluation problems + 4 ln expand/condense problems
Full answer keys
Teacher note
About This Product page

Skills Covered
Properties of Logarithms
Expanding Logs
Condensing Logs
Rewriting Equivalent Logarithmic Expressions
Product, Quotient, and Power Rules
Optional numerical evaluation of logs
Natural log (ln) expansions and condensing

Perfect For
Logarithm unit practice
Winter-themed review
Early finishers
Sub plans
Independent practice
Algebra 2 or Pre-Calculus log review