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StepMaths Mock Paper 1 · Q16

Paper 1Powers & logarithmsAlgebra

For what values of xx can the following simultaneous equations be solved?

4xy+yx=324^{\frac xy+\frac yx}=32
log⁡3(x−y)+log⁡3(x+y)=1\log_3(x-y)+\log_3(x+y)=1
AThere are no solutions
B−2≤x≤2-2\le x\le2
Cx=2x=2 or x=−2x=-2
Dx=−2x=-2 only
Ex=2x=2 only

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