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Given log3(3b + 1) - log3(a-2) = -1 for a > 2. Express b in terms of a.

We can start by recognising one of our properties of log. That is log a (x) - log a (y) = log a (x/y). Performing this on our question we get: log 3 ((3b+1)/(a-2)) = -1. Now we can remove our log and rewrite...
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Answered by Jason W. • Maths tutor
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Solve 2x^2 - 3x - 1 = 0, using the quadratic formula. Give your answer to two decimal places.

To start, let us recall the form of a quadratic equation. y = ax 2 + bx + c. When making x the subject of the formula and setting y = 0, we get the quadratic formula, as you may have seen before. x = (-b +- ...
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Answered by Jason W. • Maths tutor
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How can you expand brackets? e.g: (x-4)(x+7)

The answer is of the form ax 2 +bx+c The a term is found by the product of the coefficients of the x in the brackets. e.g ( 2 x+7)( -4 x+6) would give -8 x 2 . However for this example, we will only use coef...
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Answered by Sam T. • Maths tutor
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How should I structure my essays?

Bearing in mind that you will have no more than 30-45 minutes to write an essay, your answer will have to be concise and selective. Answers that score highly are those that directly address the question. Thi...
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Answered by Alice D. • History tutor
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How does crossing over occur during meiosis?

Genetic variation is important because it allows natural selection to act on the population. Individuals that inherit advantagous alleles are more likely to survive and successfully reproduce. Crossing over ...
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Answered by Tamara A. • Biology tutor
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