To evaluate \( \log(1011 \cdot 10^5) \), we can use the property of logarithms that states:
\[ \log(a \cdot b) = \log(a) + \log(b) \]
Applying this property to our expression:
\[ \log(1011 \cdot 10^5) = \log(1011) + \log(10^5) \]
Next, we can simplify \( \log(10^5) \):
\[ \log(10^5) = 5 \cdot \log(10) = 5 \cdot 1 = 5 \]
Now our expression becomes:
\[ \log(1011) + 5 \]
Since \(\log(1011)\) does not simplify directly to a known value, we can leave it in its logarithmic form, giving us the final expression:
\[ \log(1011) + 5 \]
Thus, the evaluation of \( \log(1011 \cdot 10^5) \) is:
\[ \log(1011) + 5 \]
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