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The value of log16^√2 = _____?

The value of log16^√2 = _____?

Explanation
The calculation is:
log₂₄ 2^(1/2) = (1/2) / 4 = 1/8
Using the base-change identity:
logₐₙ aᵐ = m/n
Here, a = 2, m = 1/2, and n = 4:
log₂₄ 2^(1/2) = (1/2) / 4 = 1/8