Evaluate log(√8) in terms of log 8 (same base).

Concept / Approach

• Write the root as a fractional power and use the power rule: log(a^k) = k · log a.

Step-by-step calculation
√8 = 8^1/2log(√8) = log(8^1/2) = (1/2) · log 8

Verification
Since √8 < 8, its logarithm must be smaller than log 8; multiplying by 1/2 is consistent.

Final Answer
(1/2) log 8