700 prompts matching "Show that a geometric series converges and find its sum to infinity"
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Learn: What an identity element is
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Quiz: The law for dividing powers of the same base
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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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Learn: Why any non-zero number to the power nought is one
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Spot My Mistake: A negative fractional index
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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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Spot My Mistake: An indicial equation involving fractional bases
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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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Learn: The law for the logarithm of a product
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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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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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Spot My Mistake: A logarithm to base e, the natural logarithm
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Final Revision: Using change of base to prove a stated relation
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