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.

Explore the steps to solve the logarithmic equation Log x = -5. Learn how to convert logarithmic equations to their exponential forms and calculate the value of x. Suitable for students in Grades 9-10, this guide covers key concepts like logarithms and exponential equations.

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