Question

Find the value of log0.00001
.(1 point)
log0.00001=

Answer 1

To find the value of \(\log(0.00001)\), we can express \(0.00001\) in a more manageable form.

The number \(0.00001\) can be written as:

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

Now, we can use the property of logarithms that states \(\log(a^b) = b \cdot \log(a)\). Here we can apply this property:

\[
\log(0.00001) = \log(10^{-5}) = -5 \cdot \log(10)
\]

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

\[
\log(0.00001) = -5 \cdot 1 = -5
\]

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

\[
\boxed{-5}
\]