If `log_(10)log_(10)log_(10)x=0`, then x = …....

Answer

To solve the equation \( \log_{10} \log_{10} \log_{10} x = 0 \), we can follow these steps:

### Step 1: Simplify the equation
We start with the equation:
\[ \log_{10} \log_{10} \log_{10} x = 0 \]
Using the property of logarithms that states \( \log_a b = 0 \) implies \( b = 1 \), we can rewrite the equation:
\[ \log_{10} \log_{10} x = 10^0 = 1 \]

### Step 2: Solve for \( \log_{10} x \)
Now we have:
\[ \log_{10} \log_{10} x = 1 \]
Again applying the property of logarithms, we can rewrite this as:
\[ \log_{10} x = 10^1 = 10 \]

### Step 3: Solve for \( x \)
Next, we solve for \( x \):
\[ \log_{10} x = 10 \]
Using the definition of logarithms, we can express \( x \) as:
\[ x = 10^{10} \]

### Final Answer
Thus, the value of \( x \) is:
\[ \boxed{10^{10}} \]