Exponential and Logarithmic Equations Quiz – Algebra 2 (10 Questions)

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

Standards: F-LE.A.4, A-SSE.B.3c · Level: Grade 11 Algebra 2

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What this Using Logs to Solve Exponent Equations quiz checks

• Isolate the exponential expression before taking logarithms.
• The power rule turns bct = d into ct · ln b = ln d.
• logb M = k is equivalent to M = bk.
• Always check logarithmic solutions: arguments must be positive.
• Time in growth, decay, interest, pH and decibel problems is found with logarithms.

The 10 questions of the quiz

1. What is the first step in solving 5 · 2^x = 60?
2. Solve 2^x = 20 using the graph.
3. Solve log₄ x = 3.
4. Solve e^x = 9.
5. Which value of x solves log₃ x + log₃(x − 8) = 2? See the graph.
6. Solve 10^x = 350 to the nearest hundredth.
7. A balance doubles with continuous growth at rate 0.05. Which equation gives the doubling time?
8. The half-life is 8 days. How many days until 1/16 of a sample remains?
9. Solve 3^x = 5² by the right method.
10. Solve log(x + 1) = log 8.

After the quiz

Missed a question? Reread the Using Logs to Solve Exponent Equations lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Using Logs to Solve Exponent Equations, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.