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tmua.co.uk TMUA Mock Paper 1 · Q8

Paper 1Powers & logarithmsNumber & counting

For integers nn with 0≤n≤200\le n\le20, consider the expression log⁡2(n−9n−2)\log_2\left(\dfrac{n-9}{n-2}\right). For how many such integers nn is this expression defined as a real number and has an integer value?

A00
B11
C22
D33
E44

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