Question 1
1 markEvaluate \(\log_3 27 + \log_2 16\).
Pearson Edexcel International AS Level · Mathematics (XMA01)
Exponentials and logarithms: Practice Questions
5 multiple-choice questions marked as you go, and 2 written questions with worked solutions. All on Exponentials and logarithms.
7 questions16 marksFree, no account
Question 2
1 markSolve the equation \(\log_4(2x + 1) = 2\).
Question 3
1 markFind the set of values of \( x \) that satisfy the logarithmic equation:
\( \log_2 x + 6 \log_x 2 = 5 \)
Question 4
1 markSolve the exponential equation \ \(3^{2x-1} = 27\)\.
Question 5
1 markSolve the equation \(\log_2(x^2 - 6x) = 3 + \log_2(x - 6)\) for \(x > 6\).
Question 6
6 marksFind the exact values of \( x \) for which \( \log_3 x - 6\log_x 3 = 1 \).
Write your answer out first, then check it against the worked solution.
Question 7
5 marksSolve the simultaneous equations:
(i) \( \log_{2}x + \log_{2}y = \log_{2}18 \)
(ii) \( \log_{3}x - \log_{3}y = 2 \)
Give your answers in the form \( k\sqrt{2} \), where \( k \) is an integer or a fraction.
Write your answer out first, then check it against the worked solution.
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