Transum Maths Software

Logarithms

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Logarithms. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Logarithms Starters:

Exponential Error: This lesson starter presents a number of statements about indices and pupils are asked if they can spot the mistake.

 

Small images of these Starters ::  Index of Starters


Logarithms Advanced Starters:

Chris Smith's 688th Puzzle: Simplify the sequence of logarithms

Log Perfection: Determine whether the given statements containing logarithms are true or false

Logarithm Equation: Solve an equation containing logarithms with different bases

Product of Indices: Find the product of the unknown indices that feature in two equations

Index of Advanced Starters


Suggested

Indices True False

Indices True False

Arrange the given statements involving indices to show whether they are true or false.

The short web address is:

Transum.org/go/?to=indicestrue

 

Curriculum for Logarithms:

Years 12 and 13

Pupils should be taught to know and use the definition of logax as the inverse of ax, 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 ex more...

Pupils should be taught to understand and use the laws of logarithms:
logax + logay = loga(xy)
logax − logay = loga(x÷y)
klogax = logaxk
(including, for example,k = −1 and k = −½) more...

Pupils should be taught to Solve equations of the form ax = b more...

Pupils should be taught to use logarithmic graphs to estimate parameters in relationships of the form y = axn and y = kbx, given data for x and y more...

International Baccalaureate

See the Number and Algebra sub-topics, syllabus statements, exam-style questions and learning resources for the IB AA course here.

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

Feedback:

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Notes:

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.

The person who is most commonly credited with the invention of logarithms is the British mathematician John Napier

Logarithms Activities:

Indices True False: Arrange the given statements involving indices to show whether they are true or false.

Logarithms: Self-marking exercises on evaluating logarithms and using them to solve equations.

Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Logarithms.

Logarithms Videos:

Logarithms Introduction: A basic introduction to the concept of logarithms from the Khan Academy

Log Tables: Logarithms and log tables - what Transum used before calculators! A Numberphile video.

Logarithms Video: Revise all you need to know in order to complete the Logarithms online exercise.

Logarithms External Links:

Links to other websites containing resources for Logarithms are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Suggested

Logarithms

Logarithms

Self-marking exercises on evaluating logarithms and using them to solve equations.

The short web address is:

Transum.org/go/?to=logs

 

Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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