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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "solving an equation with logarithms 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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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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Worked Example: The law for the logarithm of a quotient

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Practice: Combining two logarithms into one

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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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Explain Back: A logarithmic equation written in two different bases

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Final Revision: Using change of base to prove a stated relation

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Final Revision: Describing a sequence in words and then in symbols

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Quiz: The formula for the nth term of an arithmetic progression

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Common Mistakes: An arithmetic progression with a negative common difference

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Learn: The formula for the sum of the first n terms of an arithmetic progression

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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Learn: The four inequality symbols, and what each one means

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Worked Example: Adding or subtracting the same number on both sides

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Quiz: Using a sketch of the parabola to read off the solution

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Spot My Mistake: The solution when the quadratic expression is less than nought

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Learn: What the modulus of a number means

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