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These are the Transum resources related to the statement: "Know and use the definition of log_ax 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

See all these questions

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

• Logarithms Older teachers will remember their school days, before calculators were widely available, using logarithms to perform difficult multiplication and division calculations. Nowadays logarithms, or logs as they are more commonly known, are studied as part of an A Level and International Baccalaureate course and are seen as being useful for solving certain exponential equations. Basically a logarithm is the inverse function to exponentiation.