Exponents and Logs Lab
Growth, decay and logarithms, with every curve drawn from its numbers.
Exponents and Logs Lab begins with the laws of exponents, then adds negative and fractional powers. From there it moves to real-world change: growth and decay in tables and curves, doubling and half-life scenes, and compound interest with money. The picture and the numbers always match.
Logarithms arrive in the second half. Students switch between exponential form and log form, evaluate logs of powers, use the product, quotient and power laws, apply change of base and solve exponential and logarithmic equations. The last level brings in natural logs, the number e and a check for solutions that do not work.
What children practice
- Use the product, quotient, power, zero and negative exponent rules
- Work with fractional exponents such as 8 to the power two thirds
- Read exponential growth and decay from a table, a curve or a percent change
- Compute compound interest, compounded yearly, several times a year or continuously
- Switch between exponential and logarithmic form and evaluate logarithms
- Solve exponential and log equations and reject extraneous solutions
Levels
- Level 1: Exponent laws
- Level 2: Negative and fractional powers
- Level 3: Growth and decay
- Level 4: Compound interest
- Level 5: Logarithms
- Level 6: Log laws
- Level 7: Solving equations
- Level 8: Course mix
How it works
- Eight levels run from exponent laws to solving equations, and Level 8 is a course mix with natural logs.
- Powers and logs are written the way a textbook writes them, with real superscripts and subscripts.
- Passing a level takes five right answers plus the practice timer, and later levels stay locked until then.
- Money answers say whether to round to the dollar or give the exact cents, and the card lists the value of e where it is needed.
Best for: A good fit for grades 10 to 12 in Algebra 2 or Precalculus, when exponents and logarithms feel like a pile of rules instead of one idea.
Tip for parents: Ask your child how many times a number must double to pass a goal, such as a savings target. That question is a logarithm in everyday words.
Questions parents ask
Which compound interest formulas does it use?
Level 4 uses A equals P times one plus r over n, raised to the power n times t, and continuous growth with e. Students practice using the formulas rather than hunting for a hidden trick.
Does it cover change of base?
Yes. Level 6 pairs the product, quotient and power laws with change of base, using clean numbers so the answer is exact.
What are extraneous solutions?
These are answers that come out of the algebra but fail when put back into a log equation. The Course mix level asks students to check solutions and throw out the ones that do not work.
Ready to try it?
Exponents and Logs Lab is free with a parent account. A parent adds a child profile, and the child's progress is saved.