Respuesta :
Answer:
B. 8.
D. log2 256.
Step-by-step explanation:
Generally:
loga b + loga b
= loga b^2.
Therefore log2 16 + log2 16
= log2 16^2
= log2 256.
From the above:
256 = 2^x where x is the log.
Now 2^8 = 256 so the original log2 16 + log2 16 = 8.
The value of the logarithmic expression log₂ 16 + log₂ 16 will be 8. Then the correct option is B.
What is a logarithm?
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The logarithmic expression is given below.
⇒ log₂ 16 + log₂ 16
Then the expression is rewritten as,
⇒ log₂ 2⁴ + log₂ 2⁴
We know that log aⁿ = n log a, and logₐa = 1. Then
⇒ 4 log₂ 2 + 4 log₂ 2
⇒ 4 + 4
⇒ 8
Then the correct option is B.
More about the logarithm link is given below.
https://brainly.com/question/7302008
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