What is the result when evaluating the expression log(100)?

To evaluate the expression log(100), you need to understand that the logarithm function, log, is typically based on base 10 unless otherwise specified. This means we are asking, "To what power must 10 be raised to produce 100?"

We can express 100 as a power of 10: (100 = 10^2). Therefore, when we evaluate log(100) in base 10, we are determining the exponent needed:

[

\log_{10}(100) = \log_{10}(10^2) = 2

]

This shows that the logarithm of 100 is indeed 2 because 10 raised to the power of 2 gives you 100. Hence, the correct answer is 2, as it accurately reflects this exponentiation relationship.

Other choices do not fit this evaluation:

• 1 corresponds to log(10) because (10^1 = 10).

• 10 suggests that we would need to raise 10 to the 10th power to get the value, which is much larger than 100.

• 100 is simply the value itself, not the logarithmic result.

Thus, recognizing the base and properly relating it to its