Respuesta :
The value of the given logarithmic expression log₂9 is 3.17. The correct option is D, 3.17.
What are the Properties of logarithms?
There are four basic properties of logarithms:
- logₐU+ logₐV = logₐ(UV)
- logₐU - logₐV = logₐ(U/V)
- logₐUⁿ = n logₐU
- logₐb =logₓb / logₓa
The given expression can be evaluated as shown below,
log₂9
= log₂ (3)²
= 2 log₂(3)
= 2 [log 3/ log 2]
= 2 × (0.4771 / 0.301)
= 2 × 1.5849
= 3.1699 ≈ 3.17
Hence, the value of the given logarithmic expression log₂9 is 3.17.
Learn more about Logarithms here:
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