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Official 2023 Paper 1 · Q7

Paper 1Algebra

P(x)P(x) and Q(x)Q(x) are defined as follows:

P(x)=2x+4P(x)=2^x+4
Q(x)=2(2x−2)−2(x+2)+16.Q(x)=2^{(2x-2)}-2^{(x+2)}+16.

Find the largest value of xx such that P(x)P(x) and Q(x)Q(x) are in the ratio 4:14:1, respectively.

A55
B1212
C3232
Dlog⁡23\log_2 3
Elog⁡25\log_2 5
Flog⁡212\log_2 12
Glog⁡220\log_2 20

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