LogarithmsSelfmarking exercises on evaluating logarithms and using them to solve equations. 
This is level 6 ? Use logarithms to solve these exponential equations. Answers should be rounded to three significant figures. A scientific calculator should be used.
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 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc  in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." 
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.  
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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.
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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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