Logs and Exponential Functions
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can rewrite exponential equations as logarithmic equations and vice versa. I can find the domain of log funtions
Part 1 of 4
Warm-up video
Professor Dave Explains · 8:10Vetted 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
Logarithms are the inverse operation of exponentiation.
- 2
The logarithmic expression log base B of X = Y is equivalent to the exponential expression B to the Y = X.
- 3
The domain of logarithmic functions includes only positive real numbers, because raising a base to any exponent will always produce a positive number.
Part 3 of 4
Practice
3 questions
Rewrite the exponential equation 3⁴ = 81 as a logarithmic equation.
Determine the domain of the logarithmic function f(x) = log₂(x - 5).
Part 4 of 4
Exit ticket
Quick comprehension check
“Rewrite the exponential equation 5³ = 125 as a logarithmic equation. Also, what is the domain of the function f(x) = log₂(x-3)?”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson