9709 · topic questions
Logarithmic and exponential functions
12 past-paper questions on Logarithmic and exponential functions
Solve the equation ex+2e-x / ex-3 = 4. Give your answer correct to 3 decimal places.
Practise the full question →The variables x and y satisfy the equation aʸ = bx, where a and b are constants. The graph of y against lnx is a straight line…
Practise the full question →Use logarithms to solve the equation 6^(2x−1) = 5e^(3x+2). Give your answer correct to 4 significant figures.
Practise the full question →Solve the equation 8^(3-6x) = 4×5^(-2x). Give your answer correct to 3 decimal places.
Practise the full question →The variables x and y satisfy the equation ky = e^(cx), where k and c are constants. The graph of ln y against x is a straight…
Practise the full question →Solve the equation 2 ln (2x+3) - ln(2x + 5) = ln(3x).
Practise the full question →Solve the equation ln(x-5) = 7-lnx. Give your answer correct to 2 decimal places.
Practise the full question →The variables x and y satisfy the equation ay = bˣ, where a and b are constants. The graph of lny against x is a straight line…
Practise the full question →The number of bacteria in a population, P, at time t hours is modelled by the equation P = aekt, where a and k are constants. The…
Practise the full question →The variables x and y satisfy the equation a^(2y−1) = b^(x−y), where a and b are constants. Show that the graph of y against x is…
Practise the full question →Solve the equation 5ˣ = 5ˣ⁺² – 10. Give your answer correct to 3 decimal places.
Practise the full question →Find the time taken for P to double. Give your answer correct to the nearest hour.
Practise the full question →
Question stems are shortened previews. Open a question to attempt the full version and have it marked.
Logarithmic and exponential functions (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Logarithmic and exponential functions. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Logarithmic and exponential functions questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Logarithmic and exponential functions. Each links straight to instant marking against the official 9709 scheme.
- How are Logarithmic and exponential functions answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Logarithmic and exponential functions first?
- Start with the free Mathematics lesson on Logarithmic and exponential functions, then come back and drill past-paper questions under timed conditions.