Find the value of log 0.00001

1 answer

To find the value of \(\log 0.00001\), we can express \(0.00001\) in exponential form:

\[ 0.00001 = 10^{-5} \]

Now, using the properties of logarithms:

\[ \log(10^{-5}) = -5 \log(10) \]

Since \(\log(10) = 1\), we have:

\[ \log(10^{-5}) = -5 \cdot 1 = -5 \]

Thus, the value of \(\log 0.00001\) is:

\[ \boxed{-5} \]