1,308 prompts matching "Proving a logarithmic identity from the laws"
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Final revision: my three hardest Further Maths topics
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Learn: The union of two sets written in set-builder notation
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Worked Example: The intersection of two overlapping sets
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Explain Back: The symmetric difference of two sets
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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
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WAEC Prep: The number of elements in the union of two sets
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Final Revision: The power set, and how many subsets a set of n elements has
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Worked Example: Testing whether a binary operation is closed on a given set
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Final Revision: Deciding whether a set under an operation forms a group
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Learn: Simplifying a surd by extracting the largest perfect square
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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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Show All Working: Expressing a number in the form a root b
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Spot My Mistake: The power law of logarithms
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WAEC Prep: The change of base formula for logarithms
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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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