1,041 prompts matching "Comparing logarithms given in different bases"
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Test me under exam conditions on differentiation
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on di
Solve the logarithmic equation log2(x) + log2(x-2) = 3
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Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Real-life application of logarithms
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where logari
Real-life application of differentiation
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where differ
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Structured question: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as