755 prompts matching "solving an equation with logarithms to the same base"
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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats
Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir
Spot My Mistake: Why root 8 and root 2 turn out to be similar
Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out
Quiz: Subtracting one surd from another
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Spot My Mistake: Dividing one surd by another
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Learn: Why a surd is never left in the denominator
You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th
Quiz: Rationalising a denominator of the form one over root 3
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation
Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Final Revision: Why distributivity links two operations rather than one
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Quiz: Finding the identity element from an operation table
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Learn: Reading index notation, the base and the exponent
You are my personal SS1 Further Mathematics tutor. Teach me reading index notation, the ba
Worked Example: The law for multiplying powers of the same base
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Spot My Mistake: The law for a quotient raised to a power
Act as my SS1 Further Mathematics tutor. Work a question on the law for a quotient raised
Practice: A fractional index with numerator one, read as a root
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WAEC Prep: Evaluating 8 to the power two-thirds
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