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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The logarithm of the base itself"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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Teach me the laws of logarithms

Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,

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Worked example: solving an equation with logarithms to the same base

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

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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

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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Give me a 5-minute recap of logarithms

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of logarithms, covering

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IGCSE Additional Maths Y11: Writing a vector in terms of two base vectors — Common Mistakes

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

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Teach me the completing the square when the coefficient of x squared is one

You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici

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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Teach me writing the sum and product of the roots from the coefficients

You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root

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Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

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Worked example: reading the solutions as points of intersection

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Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Teach me the truth table of p implies q

You are my SS2 Further Mathematics tutor. Teach me the truth table of p implies q, in clea

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