To find the value of \( \log 81 \), we need to express 81 as a power of a base that we can work with, typically base 10 or base e for common logarithms. However, we can express 81 as \( 3^4 \) because \( 3 \times 3 \times 3 \times 3 = 81 \).
Using the property of logarithms that states \( \log_b (a^c) = c \cdot \log_b (a) \), we can rewrite \( \log(81) \) as follows:
\[ \log(81) = \log(3^4) = 4 \cdot \log(3) \]
Since the logarithm itself does not have a numeric value assigned here (as it normally would be dependent on the base, which is not specified), we cannot find a numeric answer from the provided options without knowing the base.
However, if you are referring to the more common logarithm base (for example, a calculator or a specific context), and you want to consider just the 81 without specifying a base, it's not accurate to assign a specific numeric value based on the provided options.
The options you provided (0, 18, \(\frac{1}{8}\), 8, 1) do not directly apply to \( \log(81) \) unless there's a context like \( \log_3(81) \) where:
\[ \log_3(81) = 4 \]
If you could clarify the base for the logarithm or the specific context, I can help you further. But based on standard logarithmic calculations, \( \log(81) \) is not any of the provided options.
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