This Year 12 exponentials and logarithms quiz has 10 short questions for pupils aged 16-17. Type your answer, check it straight away and read the explanation when you get one wrong.
Year 12 exponentials and logarithms quiz: the 10 questions
- Evaluate \(\log_{10}1000\).\(10^3\).
- Evaluate \(\log_a 1\).\(a^0=1\).
- \(\ln1=\)?\(e^0=1\).
- \(e^{\ln5}=\)?Inverse.
- Solve \(2^x=32\).\(2^5\).
- \(\log_aa=\)?\(a^1=a\).
- Asymptote of \(y=e^x\)?Approaches 0 as \(x\to-\infty\).
- \(2\ln3=\ln\)?Power law.
- Doubling time formula for \(e^{kt}\)?Solve \(e^{kt}=2\).
- Gradient of \(y=e^{5x}\) at \(x=0\)?\(5e^0\).
How to use this Year 12 exponentials and logarithms quiz
First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the exponentials and logarithms lesson and try again later. After that, try the multiple choice questions or the exponentials and logarithms worksheet.
Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.


















