755 prompts matching "Practice: The condition on the orders for a product to exist"
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Learn: Reading index notation, the base and the exponent
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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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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Worked Example: Solving an indicial equation where one side must be factorised first
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Learn: The definition of a logarithm as the index
You are my personal SS1 Further Mathematics tutor. Teach me the definition of a logarithm
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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Spot My Mistake: Evaluating an expression using the laws of logarithms
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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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Spot My Mistake: A logarithm to base e, the natural logarithm
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Worked Example: Finding the common difference of an 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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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Worked Example: Finding the common ratio of a geometric progression
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Spot My Mistake: Finding the common ratio when the third and sixth terms are given
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Quiz: The sum of the first six terms of a given geometric progression
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