1,332 prompts matching "A logarithmic equation written in two different bases"
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Explain Back: Finding the identity element of a binary operation
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Spot My Mistake: Finding the inverse of an element under a binary operation
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WAEC Prep: Completing a Cayley table for an operation on a small set
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Final Revision: Deciding whether a set under an operation forms a group
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Spot My Mistake: Squaring a bracket that contains a surd
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Show All Working: Expressing a number in the form a root b
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Final Revision: Proving that root 2 is irrational
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Learn: The multiplication and division laws of indices used together
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Explain Back: The laws of logarithms for a product and for a quotient
I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt
Worked Example: The discriminant, and what each of its three cases means
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Explain Back: The range of values of k for which the roots are real
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Show All Working: Solving a quadratic by completing the square
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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