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These are the Transum resources related to the statement: "Laws of exponents with rational exponents. Change of base of a logarithm. Solving exponential equations, including using logarithms".

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

Here are some exam-style questions on this statement:

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*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 - "
*(a) Show that \( \log_4 (\sin 2x +2) = \log_2 \sqrt{\sin 2x + 2 }\)*" ... 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 - "
*Two functions are defined as follows: \(f(x) = 2\ln x\) and \(g(x) = \ln \frac{x^2}{3}\).*" ... more

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

Transum,

Saturday, August 17, 2019

"Just when you thought you'd mastered all of the laws of logarithms this Advanced Lesson Starter called Log Perfection will shake your confidence. Not for the feint-hearted!"

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