Question

1. evaluate the logarithm. \\(log_{10} 0.001 = \square\\)

Explanation:

Step1: Rewrite 0.001 as power of 10

$0.001 = 10^{-3}$

Step2: Apply logarithm power rule

$\log_{10}10^{-3} = -3\log_{10}10$

Step3: Evaluate $\log_{10}10$

$\log_{10}10 = 1$, so $-3\times1=-3$

Answer:

$-3$