What is simplify-log_{10}(1.8*10^{-5})+log_{10}((0.4)/1) ?

The solution to simplify-log_{10}(1.8*10^{-5})+log_{10}((0.4)/1) is log_{10}(22222.22222…)

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simplify-log_{10}(1.8*10^{-5})+log_{10}((0.4)/1)

simplify

- lo g_{10} (1.8 \cdot 1 0^{- 5}) + lo g_{10} (\frac{0.4}{1})

lo g_{10} (22222.22222 \dots)

Decimal Notation

4.34678 \dots

Solution steps

- lo g_{10} (1.8 \cdot 1 0^{- 5}) + lo g_{10} (\frac{0.4}{1})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (\frac{0.4}{1}) - lo g_{10} (1 0^{- 5} \cdot 1.8) = lo g_{10} (\frac{\frac{0.4}{1}}{1 0 ^{- 5} \cdot 1.8})

= lo g_{10} (\frac{\frac{0.4}{1}}{1.8 \cdot 1 0 ^{- 5}})

\frac{\frac{0.4}{1}}{1.8 \cdot 1 0 ^{- 5}} = 22222.22222 \dots

= lo g_{10} (22222.22222 \dots)

lo g_{5} (\frac{x}{y})

lo g_{10} (x yz)

ln (\frac{1849.39}{1500})

ln ((ln (x))^{c o s (x)})

ln (\frac{15}{7})

What is simplify-log_{10}(1.8*10^{-5})+log_{10}((0.4)/1) ?
The solution to simplify-log_{10}(1.8*10^{-5})+log_{10}((0.4)/1) is log_{10}(22222.22222…)