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These are the Transum resources related to the statement: "Know and use the definition of log_{a}x as the inverse of a^{x}, where a is positive, not equal to 1 and x ≥ 0.Know and use the function ln x and its graph. Know and use ln x as the inverse function of e^{x}".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- What is e? Dr James Grime discusses e - the famed Euler's Number.
- Logarithms Self-marking exercises on evaluating logarithms and using them to solve equations.

Here are some exam-style questions on this statement:

- "
*Find the value of the following:*" ... more - "
*Evaluate the following, giving your answers as integers.*" ... more - "
*Find the value of*" ... more - "
*(a) Solve \(4x^2 - 8x - 5 = 0\)*" ... more - "
*Part of the graph of \(f(x) = {\log _b}(x + 4)\) for \(x > - 4\) is shown below.*" ... more - "
*An arithmetic sequence has \(u_1 = \log_h(j)\) and \(u_2 = \log_h(jk)\), where \(h > 1\) and \(j, k \gt 0\).*" ... more - "
*Consider the function \(f (x) = \log_p(24x - 18x^2)\) , for \(0 \lt x \lt 1\), where \(p \gt 0\).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

This video on Exponential and Logarithmic Functions is from Revision Village and is aimed at students taking the IB Maths AA Standard level course.

This video on Exponential and Logarithmic Functions is from Revision Village and is aimed at students taking the IB Maths AA SL/HL course

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.