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Is this answer right? (A Level, Core 2 question)

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    Ok, so I've just done the AQA June 2010 Core 2 paper, and on the last question I did something different to the mark scheme in order to obtain the correct answer.

    The line y=5/4 crosses the curve y=2x^4x-3 at the point P. Show that thex-coordinate of P is 1/4log10 2. (3marks)

    This was the question. The mark scheme answers it by splitting (4x-3)log2=log5/4 into 4xlog2-3log2=log5/4, then 4xlog2=log5/4+3log2 and so on, in order to obtain 1/4log2.

    Rather than doing this, I just made log5/4 / log 2 = 4x-3, and solved the equation by adding three then dividing by four. I got the value of x (0.83.. something), then inputted 1/4log2, showing it equaled 0.83 (my answer) and thus equaled the x coordinate.

    The mark scheme doesn't explicitly say that this is a way of answering it, would I get all 3 marks?
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    I think you need exact answer-- you wouldn't get many marks as you haven't shown that specific answer.
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