Maths Olympiad Prep

Library / CEMC Cayley /105 of 470

CEMC Cayley, 1998

Algebra Difficulty 1.0 Junior Find the answer Canada

If x=2x = 2 is a solution of the equation qx−3=11qx - 3 = 11, the value of qq is

(A) 44 (B) 77 (C) 1414 (D) −7-7 (E) −4-4

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.