1959 AMC 12 Problem 11

Attempt Problem 11 of the 1959 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1959 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

11.

The logarithm of

0.0625

to the base

2

is:

0.025

0.25

5

-4

-2

Rewrite

0.0625

as a fraction

Express

\frac{1}{16}

as a power of

2

Since

0.0625=\frac1{16}=2^{-4},

we have

\log_2(0.0625)=-4.

Therefore, the correct answer is D.

Problem 11 in other years