Logarithms and Exponential Equations
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Objective
I can convert exponential equations into logarithmic equations and vice versa.
Part 1 of 4
Warm-up video
TED-Ed · 3:34Vetted channel
We don't generate video — this one is by TED-Ed 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
If bᵖ = n, then p is the logarithm of n, and this is written logbn = p.
- 2
pH, which measures how acidic or basic a sample is, can be calculated with the formula: pH = -log₁₀H⁺, where H⁺ is the hydrogen ion concentration.
- 3
Logarithms are useful when dealing with extremely small or large numbers.
Part 3 of 4
Practice
11 questions
Write the exponential equation 5³ = 125 in logarithmic form.
Convert the logarithmic equation log₂(32) = 5 into its equivalent exponential form.
Part 4 of 4
Exit ticket
Quick comprehension check
“Rewrite the exponential equation 5³ = 125 as a logarithmic equation.”
Sample answer included in the free materials
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