Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

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.

- Indices A self marking exercise on indices (powers) including evaluating statements and solving equations.
- Logarithms Self-marking exercises on evaluating logarithms and using them to solve equations.

Here are some exam-style questions on this statement:

- "
*If a, b and c are positive integers use the following statements to find the values of a, b and c.*" ... more - "
*Find the value of the following:*" ... more - "
*Evaluate the following, giving your answers as integers.*" ... more - "
*Find the value of*" ... more - "
*In an old science fiction book the author described the intensity of reverse polarity, \(P\) measured in treckons, is a function of the nebula thrust, \(N\) measures in whovians. The intensity level is given by the following formula.*" ... 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!"

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.