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Problem 747

# Find $$\log _{10} 100$$

Expert verified
The short answer to the question 'Find $$\log _{10} 100$$' is 2.
See the step by step solution

## Step 1: Write the logarithmic equation

We have been given the logarithmic equation $$\log _{10} 100$$. Our goal is to find the exponent which, when 10 is raised to it, results in 100.

## Step 2: Convert the logarithmic equation to exponential form

The given equation can be written in exponential form as: $10^x = 100$

## Step 3: Determine the exponent

To find x, we need to determine what power of 10 results in 100: $10^2 = 100$ Here, the exponent is 2.

## Step 4: Write the final answer

Since raising 10 to the power of 2 results in 100, the value of $$\log _{10} 100$$ is equal to 2. So: $\log _{10} 100 = 2$

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