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We start with: 2ln6 - ln3 ... First, we rewrite this expression as: ln6 + ln6 - ln3 ... Next, we rewrite this as: ln(23) + ln(23) - ln3 ... Using the log rule logaxy = logax...
Mark ordered 78 apples, this is because there are 13 in each of the six boxes he ordered. On your calculator 6x13=78, therefore he ordered 78 apples.
We start by expanding the brackets : (√5 x √8) + (√5 x √18). A common mistake here is to attempt to add √8 and √18 together. We can't do this because of algebra rules. BIDMAS states that multiplicatio...
The first step in scoring full marks on this typically 4 mark question is to recognise what it's asking you to do. We use the process of differentiation to solve it. f(x)=2x^3 - 2x^2 + 8xf'(x) = 6x^2 - 4x...
We need to split the initial fraction into two. We know that (x-5)/(x+1)(x-2) is equivalent to A/(x+1) + B/(x-2). Multiplying by (x+1)(x-2) we get x-5 = A(x-2) + B(x+1). Expanding the brackets gives x - 5...
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