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Official 2019 Paper 1 · Q11

Paper 1Powers & logarithmsAlgebra

Find the sum of the real values of xx that satisfy the simultaneous equations:

log⁡3(xy2)=1\log_3(xy^2)=1
(log⁡3x)(log⁡3y)=−3(\log_3 x)(\log_3 y)=-3
A13\frac13
B11
C33
D3193\frac19
E91279\frac1{27}
F9139\frac13
G2727
H271927\frac19

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