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Clavis TMUA Set C Paper 1 · Q3

Paper 1Powers & logarithms

The positive real numbers xx and yy satisfy

log⁡2(xy)=5and(log⁡2x)(log⁡2y)=6.\log_2(xy)=5\quad\text{and}\quad(\log_2x)(\log_2y)=6.

Find the sum of the possible values of xx.

A55
B66
C88
D1010
E1111
F1212

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