Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for an exponential and logarithmic functions test PDF? Then this Algebra 2 test on Using Logs to Solve Exponent Equations checks the whole chapter, with points for each question. This 45-minute test covers exponential equations, logarithmic equations with extraneous solutions, and applications to interest and decay. A scientific calculator is allowed. Show each step for full credit.
Standards: F-LE.A.4, A-SSE.B.3c · Level: Grade 11 Algebra 2
Question 2 Exponential equation (2 points)
Solve 6x = 50. Round to the nearest hundredth.
Question 3 Isolate and solve with e (2 points)
Solve 4e0.5x = 30. Round to the nearest hundredth.
Question 4 Logarithmic equation (2 points)
Solve log7(2x + 3) = 2.
Question 5 Equation with two logarithms (3 points)
Solve log5 x + log5(x + 4) = 1. Check for extraneous solutions.
Question 6 Decay model (3 points)
The graph shows y = 100(0.8)x, the percent of a charge left after x hours.
- Estimate from the graph when 40 percent remains. (1 point)
- Find the exact time using logarithms. (2 points)
Question 7 Compound interest (2 points)
Dara invests $2,500 at 3.8% interest compounded monthly. How many years until the account holds $4,000? Round to the nearest tenth.
Question 8 Half-life (2 points)
A medicine has a half-life of 5 hours and the initial dose is 200 mg. After how many hours is 25 mg left?
Question 9 Extraneous solution (2 points)
Solve log x + log(x + 9) = 1 and explain why one of the two algebraic solutions is rejected.
