695 prompts matching "Roots that are reciprocals of one another"
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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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Show All Working: Simplifying an expression that mixes the index types
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Final Revision: Converting an answer back out of index form
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Quiz: An indicial equation that becomes a quadratic in a power
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Show All Working: A word problem that leads to an indicial equation
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Spot My Mistake: The logarithm of the base itself
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Final Revision: The characteristic and the mantissa of a logarithm
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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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Worked Example: Converting a logarithm to base ten so that tables can be used
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Quiz: Evaluating log to base 3 of 7 by change of base
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Final Revision: Using change of base to prove a stated relation
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Worked Example: Writing out the terms of a sequence from its nth term
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Quiz: Finding the nth term of a linear sequence
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Show All Working: Deciding whether a given number is a term of a sequence
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Worked Example: Finding the common difference of an arithmetic progression
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Quiz: The formula for the nth term of an arithmetic progression
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