1,317 prompts matching "Learn: The change of base formula"
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Final Revision: The power set, and how many subsets a set of n elements has
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Explain Back: Finding the identity element of a binary operation
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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WAEC Prep: Comparing the sizes of two surds without a calculator
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Quiz: Solving an index equation by writing both sides to the same base
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Worked Example: The discriminant, and what each of its three cases means
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Explain Back: The range of values of k for which the roots are real
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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