Logarithms Quiz – Precalculus (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: F-LE.A.4, F-BF.B.5, F-IF.C.8b · Level: Grade 12 Precalculus

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What this Exponents, Logarithms and Growth Models Explained quiz checks

• log_b x = y means b^y = x; the inputs of a logarithm must be positive.
• Product, quotient and power laws turn multiplication into addition, division into subtraction and exponents into factors.
• Change of base: log_b M = ln M ÷ ln b.
• Check every solution of a log equation, because extraneous answers are common.
• Logistic growth levels off at a carrying capacity; continuous growth is A = Pe^(rt).

The 10 questions of the quiz

1. What is log₂ 32?
2. Rewrite 3⁵ = 243 using a logarithm.
3. Which expression equals log₃ x + log₃ 5?
4. Which equals 3 ln 2?
5. The graph shows f(x) = 4^x, and the marked point (3, 64) is on it. Which point is on the graph of its inverse?
6. Which is the exact solution of 2^x = 7?
7. Solve e^x = 12.
8. The graph shows a logistic model N(t). What is its carrying capacity?
9. A solution with pH 3 is how many times more acidic (in hydrogen ions) than one with pH 5?
10. What is the solution set of log₇ x + log₇(x − 6) = 1?

After the quiz

Missed a question? Reread the Exponents, Logarithms and Growth Models Explained lesson, then take the quiz again. Next, solve the Precalculus worksheet on Exponents, Logarithms and Growth Models Explained, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Mis à jour le 22 October 2026