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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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WAEC Prep: Applying two index laws inside one expression

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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

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Final Revision: Converting an answer back out of index form

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Learn: Solving an equation by writing both sides to the same base

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WAEC Prep: Rejecting a negative answer in an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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Learn: The definition of a logarithm as the index

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Quiz: Writing a logarithm as an index statement

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

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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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WAEC Prep: Simplifying a logarithmic expression before evaluating it

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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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Learn: The change of base formula

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Quiz: Evaluating log to base 3 of 7 by change of base

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

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