1,334 prompts matching "Evaluating an expression using the laws of logarithms"
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Practice: Converting between index form and logarithm form
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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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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Show All Working: Counting the handshakes, or the lines joining n points
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Final Revision: Combinations used with the addition and multiplication principles
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Show All Working: The half angle formulae and the t-substitution
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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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Common Mistakes: Giving the general solution of a trigonometric equation
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Practice: The effect of a in y equals a sin x
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Spot My Mistake: The effect of c in y equals sin x plus c
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Show All Working: Reading the solutions of a trigonometric equation off a graph
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