ACT Math · Algebra
Exponential and logarithmic functions practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 11Solve for x: 3^2x-1 = 27.
- Question 57A population model is given by P(t) = 500(1.08)^t, where t is measured in years. Which value is closest to P(5)?
- Question 58What is _2(32)?
- Question 80$1,000 is invested at 6% annual interest, compounded annually. Which value is closest to the balance after 2 years?
- Question 95A radioactive substance decays according to A(t) = 800(0.85)^t, where t is in years. Which value is closest to the amount…
- Question 101What is (4) + (25)?
- Question 131Solve for x: 4^x = 8^x-1.
- Question 137A quantity doubles every 3 hours, starting at 50. What is the quantity after 9 hours?
- Question 190If f(x) = 3^x, what is f^-1(81)?
- Question 243A linear function is given by f(x) = 2x + 10, and an exponential function is given by g(x) = 2^x. For positive integer values of…
- Question 249Solve for x: _5(x) = 3.