Competition problem — Algebra — Maths Olympiad Prep

Library / /18 of 173

Algebra Difficulty 1.9 Junior Find the answer

If $2^{x}=16$ , what is the value of $2^{x+3}$ ?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Since $2^{x}=16$ , then $2^{x+3}=2^{3} 2^{x}=8(16)=128$ .

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.