What is log_{10}(3.71)10^{-4} ?

The solution to log_{10}(3.71)10^{-4} is 1/10000 log_{10}(371)-1/5000

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simplify log_{10}(3.71)10^{-4}

simplify

lo g_{10} (3.71) 1 0^{- 4}

\frac{1}{10000} lo g_{10} (371) - \frac{1}{5000}

Decimal Notation

0.00005 \dots

Solution steps

lo g_{10} (3.71) \cdot 1 0^{- 4}

lo g_{10} (3.71) = lo g_{10} (371) - 2

= (lo g_{10} (371) - 2) \cdot 1 0^{- 4}

(lo g_{10} (371) - 2) \cdot 1 0^{- 4} = \frac{1}{10000} lo g_{10} (371) - \frac{1}{5000}

= \frac{1}{10000} lo g_{10} (371) - \frac{1}{5000}

\frac{4 π}{5} \cdot 1 0^{- \frac{1}{4}}

(1.248 \cdot 1 0^{8}) \cdot (3.9 \cdot 1 0^{4})

350 \cdot 80 \cdot 1 0^{- 3} \cdot 0.035 \cdot 0.014 \cdot 350

8.49 \cdot 1 0^{- 2}

(3 x^{3}) (7 x^{2})

What is log_{10}(3.71)10^{-4} ?
The solution to log_{10}(3.71)10^{-4} is 1/10000 log_{10}(371)-1/5000