Question

Find the value of log 0.00001
.(1 point)
log 0.00001

Answer 1

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

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

Now, using the property of logarithms:

\[
\log(a^b) = b \cdot \log(a)
\]

we can calculate:

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

Since \( \log(10) = 1 \):

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

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

\[
\boxed{-5}
\]