Given the equation $\log x = -5$, we need to solve for $x$.

Step 1: Understanding the logarithmic equation

The logarithmic equation $\log x = -5$ is typically written in base 10 unless specified otherwise. This means:

$\log_{10} x = -5$

Step 2: Converting the logarithmic equation to its exponential form

To solve for $x$, we convert the logarithmic form to its exponential form:

$x = 10^{-5}$

Step 3: Calculating the value of $x$

Now, let's calculate:

$x = \frac{1}{10^5} = 0.00001$

So, the solution is:

$x = 0.00001$

Would you like more details, or do you have any questions? Here are some related questions you might find interesting:

1. What is the general process of solving logarithmic equations?
2. How do you solve logarithmic equations with different bases?
3. What are some real-world applications of logarithmic functions?
4. How does the base of a logarithm affect its graph?
5. What happens if the logarithm results in a positive or zero value?

Tip: When solving logarithmic equations, always ensure the argument of the logarithm (in this case, $x$) is positive, as logarithms are not defined for non-positive numbers.