Find log_2(1/64).

Introduction / Context:1/64 is a reciprocal power of 2. Logs with base 2 translate powers of 2 into their exponents directly.

Given Data / Assumptions:1/64 = 2^{−6}.

Concept / Approach:Use log_2(2^k) = k.

Step-by-Step Solution:

Final Answer:−6