LogarithmsSelfmarking exercises on evaluating logarithms and using them to solve equations. 
This is level 5 ? Without a calculator evaluate the following. Your answers should be whole numbers or fractions in their lowest terms.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." 
Whose Idea Was This?Did you enjoy doing this 'Logarithms' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept. 

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Level 1  Writing logarithm statements in exponential format and vica versa
Level 2  Evaluating logarithms without a calculator
Level 3  Laws of logarithms
Level 4  Solving equations containing logarithms
Level 5  Natural logarithms
Level 6  Solving exponential equations using logarithms
Exam Style Questions  A collection of problems involving logs in the style of GCSE or IB/Alevel exam paper questions (worked solutions are available for Transum subscribers).
More Logarithms including lesson Starters, visual aids, investigations and selfmarking exercises.
More Exponents including lesson Starters, visual aids, investigations and selfmarking exercises.
Level 1 of 6
Find the level you need in the video from these time codes:
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.
Use ^ for index/exponent
Use _ for the base of a logarithm
Use space and tab to get down from the index position or up from the subscript position
No brackets required for the log function  write log10 rather than log(10)
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