Solving Exponential Equations
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Objective
The students will be able to solve complex exponential equations by applying the properties of exponents and logarithms.
Part 1 of 4
Warm-up video
Khan Academy · 4:56Vetted 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
Any number (except 0) to the power of zero is equal to one.
- 2
When solving exponential equations, try to express both sides with the same base to equate the exponents.
- 3
When raising a power to a power, you multiply the exponents: (aᵇ)ᶜ = ab×c.
Part 3 of 4
Practice
10 questions
Solve for x: 31^(2x + 3) = 1
Explain why any non-zero number raised to the power of zero equals one.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve for x: 5^(2x + 3) = 5^(x - 1)”
Sample answer included in the free materials
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Teacher Guide
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