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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Reading index notation, the base and the exponent
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Show All Working: Simplifying an expression with letters and indices
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Quiz: A negative index on a fraction, and turning it upside down
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Spot My Mistake: A negative fractional index
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Show All Working: Simplifying an expression that mixes the index types
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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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Final Revision: The characteristic and the mantissa of a logarithm
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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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Show All Working: Solving a simple logarithmic equation
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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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