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What is the value of the logarithm below? (Round your answer to two decimal

places.)
log2 7
A. 2.81
B. 0.58
C. 0.85
D. 2.11

User Mmssaann
by
8.2k points

1 Answer

1 vote

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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User Keryruo
by
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