Exponential and Logarithmic Word Problems Practice Test

Model real situations with exponential growth, decay, logarithms, interest, half-life, pH, and measurement scales.

Exponential and Logarithmic Word Problems Practice Test

20 applied growth, decay, finance, science, and logarithm questions.

About This Exponential and Logarithmic Word Problems Practice Test

Exponential and logarithmic models appear in finance, biology, medicine, physics, chemistry, and environmental science. This test emphasizes choosing the correct model as well as calculating the result.

The questions cover population growth, depreciation, compound and continuous interest, half-life, medication decay, pH, decibels, earthquake magnitude, and doubling models.

Skills Covered

You will identify initial values and growth factors, distinguish linear from exponential change, use compound and continuous models, solve for time with logarithms, and interpret base-10 logarithmic scales.

How to Approach the Questions

  1. Write the model before substituting numbers.
  2. Convert a percent increase to 1+r and a percent decrease to 1-r.
  3. Count the number of growth or half-life periods carefully.
  4. Use logarithms only after isolating the exponential expression.

Common Mistakes to Avoid

Common errors include using simple change instead of repeated multiplication, entering a percent as a whole number, confusing a half-life with the amount remaining, and reversing logarithm ratios.

Practice Format

Use this free 20-question test for classroom review, tutoring, homework support, exam preparation, or independent practice. Each response is followed by an explanation, and the test can be repeated without registration.