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The given equation is:

\[
\log x = \log(11 - \log x)
\]

We aim to find the value of \( x \) that satisfies this equation.

### Step-by-Step Solution:

1. Since both sides have a logarithmic function (with the same base, assumed to be base 10), we can eliminate the logarithms by setting the arguments equal to each other:

\[
x = 11 - \log x
\]

2. Now, let's define \( y = \log x \). Therefore, the equation becomes:

\[
x = 11 - y
\]

But from the definition of \( y \), we know that:

\[
x = 10^y
\]

3. Substitute \( x = 10^y \) into the equation \( x = 11 - y \):

\[
10^y = 11 - y
\]

4. This equation is a transcendental equation, which may require numerical or graphical methods to solve. However, we can estimate the value of \( y \) by trial and error or using a calculator to approximate.

After testing different values of \( y \), we find that \( y = 1 \) satisfies the equation:

\[
10^1 = 11 - 1 = 10
\]

Thus, \( y = \log x = 1 \), which gives \( x = 10 \).

### Final Answer:
The value of \( x \) is **10**, which corresponds to option **D**.

---

Do you want more details or have any questions?

Here are five related questions for practice:
1. How would you solve a similar logarithmic equation, but with natural logs (ln)?
2. What happens if the equation had a different constant instead of 11?
3. Can you solve for \( x \) in \( \log x = \log(15 - \log x) \)?
4. How do you handle logarithmic equations when there are coefficients inside the log?
5. Can the logarithmic equation have no solution? Under what conditions?

**Tip:** When solving logarithmic equations, ensure that the arguments of the logarithms remain positive, as logarithms are undefined for non-positive values.

Harga x yang memenuhi log x = log(11 - log x) adalah ....

Learn how to solve the logarithmic equation log x = log(11 - log x) step-by-step. This problem requires understanding logarithmic properties and algebraic manipulation. Suitable for students in Grades 10-12.

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