1,334 prompts matching "the change of base formula in a calculation"
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Final Revision: Sketching the graph of a logarithmic function
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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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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Learn: The degree of a polynomial and its leading coefficient
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Practice: Finding the third root of a cubic when two are known
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Spot My Mistake: Showing the solution of an inequality on a number line
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Learn: The meaning of n factorial, and how to evaluate it
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Worked Example: The number of arrangements of n different objects in a row
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Show All Working: Arrangements of the letters of a given word
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Learn: The meaning of n choose r, and how to evaluate it
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Spot My Mistake: The double angle formula for sine
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Quiz: Solving tan x equals a given value, and the period of the tangent
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Practice: Solving an equation of the form sin of 2x equals a given value
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Common Mistakes: Giving the general solution of a trigonometric equation
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