755 prompts matching "Composite function leading to solving an equation"
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Final Revision: Evaluating a numerical expression using the index laws
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Worked Example: Rewriting a negative index as a fraction
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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Learn: The definition of a logarithm as the index
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Spot My Mistake: The logarithm of the base itself
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Common Mistakes: Reading a logarithm from a table
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Learn: The law for the logarithm of a product
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Worked Example: The law for the logarithm of a quotient
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Quiz: The law for the logarithm of a power
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Final Revision: Proving a logarithmic identity from the laws
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Worked Example: Writing out the terms of a sequence from its nth term
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Quiz: Finding the nth term of a linear sequence
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Practice: Finding the nth term of a quadratic sequence
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Spot My Mistake: A sequence defined by a recurrence relation
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Practice: Finding the twentieth term of a given arithmetic progression
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Spot My Mistake: Finding the common difference from two given terms
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Worked Example: The alternative sum formula that uses the last term
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Quiz: The sum of the first fifty natural numbers
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