Logarithms and Exponential Equations
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 solve exponential equations by using logarithms.
Part 1 of 4
Warm-up video
Khan Academy · 2:51Vetted channel
We don't generate video — this one is by Khan Academy 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 the equation 10^(2T-3) = 7 for T, we can rewrite it in logarithmic form.
- 2
The logarithmic form of 10^(2T-3) = 7 is log base 10 of 7 = 2T - 3.
- 3
The solution for T in terms of base 10 logarithms is T = (log base 10 of 7 + 3) / 2.
Part 3 of 4
Practice
12 questions
Rewrite the equation 5^(3x + 1) = 25 in logarithmic form using base 10 logarithms.
Solve for x: 10^(4x - 5) = 1000. Express your answer in terms of base 10 logarithms.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve for x in terms of base 10 logarithms: 10^(4x + 1) = 12”
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
