The value of log16^√2 = _____?
- 1/8
- 8
- 4
- None of these
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
Related MCQs
