Solve the equation log(x) = 3.

The solution to the equation log(x) = 3 is x = 1000.

To solve the equation log(x) = 3, 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 not specified, so we assume it to be 10, which is the most commonly used base in mathematics.

Using this assumption, we can rewrite the equation as 10^3 = x. This is because the logarithm of x to the base 10 is 3 if and only if 10^3 = x. Therefore, the solution to the equation log(x) = 3 is x = 1000.

To check our answer, we can substitute x = 1000 into the original equation and see if it holds true. log(1000) = 3, so our solution is correct.

It is important to note that logarithms have many applications in mathematics, science, and engineering. They are used to simplify complex calculations, measure the intensity of earthquakes and sound, and model exponential growth and decay, among other things. Therefore, it is essential to have a good understanding of logarithms and their properties.