Solve the equation log(x) base 10 = 2.

The solution to the equation log(x) base 10 = 2 is x = 100.

To solve the equation log(x) base 10 = 2, we need to understand what logarithms are. A logarithm is the power to which a base must be raised to produce a given number. In this case, the base is 10, and the logarithm is 2. So, we need to find the number x that 10 must be raised to the power of 2 to produce.

We can rewrite the equation as 10^2 = x. This is because the logarithm is the power to which the base must be raised to produce the number, so we can reverse this process by raising the base to the power of the logarithm to get the number.

Simplifying 10^2, we get x = 100. Therefore, the solution to the equation log(x) base 10 = 2 is x = 100.

It is important to note that logarithms are used in many areas of mathematics and science, including finance, physics, and engineering. They are particularly useful for dealing with very large or very small numbers, as they allow us to express them in a more manageable form.