363 prompts matching "A longer statement tested for tautology"
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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Spot My Mistake: Finding the inverse of a given element
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Learn: Reading index notation, the base and the exponent
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Learn: Why any non-zero number to the power nought is one
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Spot My Mistake: A negative fractional index
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Learn: Solving an equation by writing both sides to the same base
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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Practice: Solving 2 to the power x equals 32
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Spot My Mistake: An indicial equation involving fractional bases
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Learn: The definition of a logarithm as the index
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Practice: Evaluating log to base 2 of 8
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Spot My Mistake: The logarithm of the base itself
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Practice: Combining two logarithms into one
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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