4 self-marking Additional Maths practice questions on Laws of logarithms and change of base, written specifically for Cambridge IGCSE Additional Maths (0606) across Single tier. Instant marking with full worked solutions on every question.
Sample Laws of logarithms and change of base questions
A few of the 4 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 11 markGrade 8
Write down the value of lg(100000). [1]
Show the worked solution
100000=105
What are the common mistakes in Laws of logarithms and change of base?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Applies the product law of logarithms by adding the arguments inside a single log, instead of multiplying them.
The product law is lga+lgb=lg(ab), a MULTIPLICATION inside the log - so lg25+lg8
Quick answers about Laws of logarithms and change of base
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There are 4 self-marking Additional Maths Maths questions on Laws of logarithms and change of base, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.
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So lg(100000)=lg(105)=5.
Question 22 marksGrade 8
Write 2lg5+lg8−lg2 as a single logarithm, and hence find its value. [2]
100000=105 - count the zeros after the 1 to find the power (five zeros, so the power is 5), not the total number of digits.
Only gives one of the two solutions
Letting y=log2x gives y=y4, so y2=4 - this has TWO solutions, y=2 and y=−2, each giving a different value of x. Don't stop after finding only the positive root.