Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a logarithms quiz? Then this Algebra 2 quiz on Logarithms: The Inverse of Exponents asks 10 multiple-choice questions with instant feedback. Ten quick multiple-choice questions check the main ideas of this chapter. Each wrong option comes from a real mistake, so read the explanation after every answer, including those answered correctly.
Standards: F-LE.A.4, F-BF.B.4a, F-IF.C.7e · Level: Grade 11 Algebra 2
What this Logarithms: The Inverse of Exponents quiz checks
- logb x = y means by = x, with b > 0, b ≠ 1 and x > 0.
- The graph of y = logb x passes through (1, 0) and has the y-axis as a vertical asymptote.
- Product, quotient and power rules turn multiplication into addition, division into subtraction and exponents into multipliers.
- Change of base: logb x = ln x ÷ ln b, which lets a calculator find any logarithm.
- log means base 10 and ln means base e ≈ 2.718.
The 10 questions of the quiz
- Which statement is equivalent to 43 = 64?
- The graph shows y = log2 x. What is the y-value when x = 8?
- What is log9 3?
- Which number is shown by the marked point? It is log 5000 on this number line.
- Which expression equals log3(xy)?
- Which expression equals log5(m4)?
- What is the domain of y = ln(x − 5)?
- A solution has pH 3 and another has pH 5. How many times more hydrogen ions does the first have?
- Which is the inverse of y = log4 x?
- Which point is on the graph of every function y = logb x?
After the quiz
Missed a question? Reread the Logarithms: The Inverse of Exponents lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Logarithms: The Inverse of Exponents, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.