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Further Mathematics

AI prompts for senior secondary learners.

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721 prompts matching "Summarise logarithms and indices for quick revision"

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Quiz: Left distributivity and right distributivity

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Final Revision: Why distributivity links two operations rather than one

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Learn: Reading index notation, the base and the exponent

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Quiz: The law for dividing powers of the same base

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Practice: The law for a power raised to another power

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Spot My Mistake: The law for a quotient raised to a power

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Final Revision: Evaluating a numerical expression using the index laws

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Quiz: A negative index on a fraction, and turning it upside down

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Common Mistakes: Writing a root as a fractional index before simplifying

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Final Revision: Checking an indicial solution by substitution

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Worked Example: Writing an index statement as a logarithm

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WAEC Prep: Why the logarithm of a negative number does not exist

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Show All Working: The common logarithm, to base ten

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Common Mistakes: Reading a logarithm from a table

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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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Learn: The change of base formula

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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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WAEC Prep: Solving an exponential equation by taking logarithms of both sides

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