Question

question 6 (1 point)
evaluate $\log 0.00001$.
\bigcirc a) $-5$
\bigcirc b) $-4$
\bigcirc c) $5$
\bigcirc d) $4$

Explanation:

Step1: Recall logarithm definition

Let \( \log_{10} 0.00001 = x \). By definition of logarithm, \( 10^x = 0.00001 \).

Step2: Express 0.00001 as power of 10

We know that \( 0.00001=\frac{1}{100000}=\frac{1}{10^5}=10^{-5} \).

Step3: Solve for x

Since \( 10^x = 10^{-5} \), by the property of exponents (if \( a^m = a^n \), then \( m = n \) for \( a>0,a
eq1 \)), we get \( x=-5 \).

Answer:

a) -5