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ESAT Set 2 - Engineering and Science Admissions Test - Math 2
โฑTime Remaining 38:42๐Ÿ“„12 of 27
P(x)P(x)P(x) and Q(x)Q(x)Q(x) are defined by
P(x)=2x+5P(x) = 2^x + 5P(x)=2x+5
and
Q(x)=22xโˆ’18โ‹…2x+74.Q(x) = 2^{2x} - 18 \cdot 2^x + 74.Q(x)=22xโˆ’18โ‹…2x+74.
Find the largest value of xxx such that P(x)P(x)P(x) and Q(x)Q(x)Q(x) are in the ratio 1:21 : 21:2, respectively.
โ€œThe real ESAT felt like one more Lab45 mock. The questions had the same originality and challenge I had practised for. Nothing else came close to preparing me for the actual exam.โ€
Minseo

Seoul Foreign School

January 2026 ESAT

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