How do you evaluate log 100?

To evaluate log 100, we need to determine what power we raise the base (usually 10) to in order to get 100. In mathematical terms, we are looking for the value of x in the equation:

Understanding the Logarithm

Logarithms are the inverse operations of exponentiation. For example, if we have:

10^x = 100

We can rewrite this using logarithms:

x = log₁₀ 100

Finding the Value

Since 100 can be expressed as:

100 = 10^2

We can substitute this back into our logarithmic equation:

x = log₁₀ (10^2)

Using Logarithmic Properties

One of the properties of logarithms states that:

log_b (b^k) = k

Applying this property, we find:

x = 2

Final Result

Thus, the value of log 100 is:

log₁₀ 100 = 2