Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,041 prompts matching "Comparing logarithms given in different bases"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
Subscribe to unlock allSolve the logarithmic equation log2(x) + log2(x-2) = 3
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Subscribe to unlock allSolve the logarithmic equation log(x+1) - log(x-1) = 2
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Subscribe to unlock allSolve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Subscribe to unlock allSolve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Subscribe to unlock allSolve the logarithmic equation log5(x+3) + log5(2) = 2
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Subscribe to unlock allSolve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Subscribe to unlock allWorked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Subscribe to unlock allWorked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Subscribe to unlock allReal-life application of logarithms
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where logari
Subscribe to unlock allReal-life application of differentiation
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where differ
Subscribe to unlock allMulti-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
Subscribe to unlock allDiscriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Subscribe to unlock allForm 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
Subscribe to unlock allProve 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
Subscribe to unlock allStructured 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
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