Logarithm Properties
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Objective
I can use properties of logarithms to simplify and evaluate expressions.
Part 1 of 4
Warm-up video
Professor Dave Explains · 7:08Vetted channel
We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
To solve exponential equations where the bases can be the same, express both sides with the same base and set the exponents equal.
- 2
When solving logarithmic equations with multiple logs on one side, use the properties of logarithms to condense the expression into a single logarithm before solving.
- 3
If you cannot get the same base on both sides of an exponential equation, take the natural log of both sides, use the power rule to bring the exponents to the front, and then isolate the variable.
Part 3 of 4
Practice
9 questions
Solve for x: 5ˣ = 25
Rewrite the equation log₃(9) = 2 in exponential form.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve for x: log₂(x + 3) + log₂(x - 3) = 4”
Sample answer included in the free materials
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