933 prompts matching "Cambridge-style question: change of base formula"
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Give me common mistakes students make in matrices
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Give me common mistakes students make in vectors
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Give me common mistakes students make in coordinate geometry
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Give me common mistakes students make in trigonometric identities and equations
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Give me common mistakes students make in sequences and series
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Give me common mistakes students make in differentiation
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Give me common mistakes students make in logarithms and indices
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Give me common mistakes students make in surds
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Solve the logarithmic equation log2(x) + log2(x-2) = 3
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Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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