To find the value of the logarithm log2 7, we need to determine to which exponent we need to raise 2 to get 7.
Since 2 raised to what power equals 7, we can rewrite it as:
2^x = 7
To solve for x, we can take the logarithm of both sides using base 2:
log2 (2^x) = log2 7
By the logarithmic property, the exponent x can be brought down:
x = log2 7
Now we need to find the value of x.
Using a calculator or mathematical software, we can determine that log2 7 is approximately 2.81.
Therefore, the value of the logarithm log2 7 is approximately 2.81.
The correct answer is A. 2.81.
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