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OxbridgeMind TMUA Paper 2 · Q4

Paper 2Powers & logarithmsAlgebra

Given the simultaneous equations:

8y=2(x−1)28^y=2^{(x-1)^2}
log⁡(y+2−2x)=0\log(y+2-2x)=0

Find the possible values of yy.

A8±438\pm4\sqrt3
B4±234\pm2\sqrt3
C7±437\pm4\sqrt3
D9±239\pm2\sqrt3
E5±435\pm4\sqrt3

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