To solve the equation \( 10 \log_{10} x = 11,000 \), we can isolate \(\log_{10} x\):
\[ \log_{10} x = \frac{11,000}{10} = 1,100 \]
Now, we can rewrite the logarithmic equation in its exponential form:
\[ x = 10^{1,100} \]
Thus, the solution is:
\[ x = 10^{1,100} \]
This value is extremely large.
If you want to check the answer, you can take the logarithm of \( x \):
- Calculate \( \log_{10} (10^{1,100}) = 1,100 \).
- Multiply by 10: \( 10 \times 1,100 = 11,000 \), which confirms that our original equation is satisfied.
Final answer:
\[ x = 10^{1,100} \]
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