755 prompts matching "Explain biconditional and equivalence back to me"
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Worked Example: Testing whether star distributes over plus
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Spot My Mistake: Checking distributivity from two operation tables
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Final Revision: Why distributivity links two operations rather than one
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: Rewriting a negative index as a fraction
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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Spot My Mistake: An indicial equation involving fractional bases
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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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Spot My Mistake: The logarithm of the base itself
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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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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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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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