Simplify \(1\times {10}^{-3}\) to \({10}^{-3}\).
\[\log{\frac{0.7}{{({10}^{-3})}^{2}}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\log{\frac{0.7}{{(\frac{1}{{10}^{3}})}^{2}}}\]
Simplify \({10}^{3}\) to \(1000\).
\[\log{\frac{0.7}{{(\frac{1}{1000})}^{2}}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\log{\frac{0.7}{\frac{1}{{1000}^{2}}}}\]
Simplify \({1000}^{2}\) to \(1000000\).
\[\log{\frac{0.7}{\frac{1}{1000000}}}\]
Simplify \(\frac{0.7}{\frac{1}{1000000}}\) to \(700000\).
\[\log{700000}\]
Decimal Form: 5.845098
log(700000)
