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Official 2018 Paper 1 · Q14

Paper 1Powers & logarithms

The line y=mx+4y=mx+4 passes through the points (3,log⁡2p)(3,\log_2 p) and (log⁡2p,4)(\log_2 p,4).

What are the possible values of pp?

Ap=1p=1 and p=4p=4
Bp=1p=1 and p=16p=16
Cp=14p=\frac14 and p=4p=4
Dp=14p=\frac14 and p=64p=64
Ep=164p=\frac1{64} and p=4p=4
Fp=164p=\frac1{64} and p=16p=16

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