Precalculus: Mathematics for Calculus, 7th Edition

$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$ $\log 0.000001$ Rewrite 0.000001 as $10^{-6}$ [Note: $10^{-6} = \frac{1}{10\times10\times10\times10\times10} = \frac{1}{1000000} = 0.000001$] $$\log 10^{-6} \rightarrow \log_{10} 10^{-6}$$ Use the Third Property of Logarithms: $\log_a a^x = x$ $$\log_{10} 10^{-6} = -6$$