TMUA Sed (CoderLovesEggs) Paper 2 with Solutions · Question 15

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Sed (CoderLovesEggs) Paper 2 with Solutions · Q15

Paper 2Algebra

Let $a,b,c$ be positive integers. Then the equation

a^b=2a^c=4b^c

Ahas infinitely many solutions for each of

a,b

and

c

;

Bspecifies one of

a,b

and

c

uniquely, and has infinitely many solutions for the other two;

Cspecifies two of

a,b

and

c

uniquely, and has infinitely many solutions for the other one;

Dspecifies

a,b

and

c

uniquely;

Ehas no solutions.

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