733 prompts matching "Structured question: composite function with a restricted domain"
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Common Mistakes: Reading a logarithm from a table
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Worked Example: The law for the logarithm of a quotient
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Practice: Combining two logarithms into one
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Explain Back: Splitting a single logarithm into several
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Show All Working: Solving a simple logarithmic equation
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Practice: The relation between log a of b and log b of a
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Explain Back: A logarithmic equation written in two different bases
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Show All Working: Comparing logarithms given in different bases
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Worked Example: Writing out the terms of a sequence from its nth term
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Practice: Finding the nth term of a quadratic sequence
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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Show All Working: Deciding whether a given number is a term of a sequence
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Worked Example: Finding the common difference of an arithmetic progression
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Practice: Finding the twentieth term of a given arithmetic progression
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Explain Back: Finding the first term from two given terms
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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