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

These are the Transum resources related to the statement: "Understand and use the laws of logarithms:

log_{a}x + log_{a}y = log_{a}(xy)

log_{a}x − log_{a}y = log_{a}(x÷y)

klog_{a}x = log_{a}x^{k}

(including, for example,k = −1 and k = −½)".

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:

- "
*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

Here are some Advanced Starters on this statement:

**Log Perfection**

Determine whether the given statements containing logarithms are true or false more**Logarithm Equation**

Solve an equation containing logarithms with different bases more**Product of Indices**

Find the product of the unknown indices that feature in two equations 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.

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.