What is simplify-log_{10}(3.82)10^{-4} ?

The solution to simplify-log_{10}(3.82)10^{-4} is -1/10000 log_{10}(382)+1/5000

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simplify-log_{10}(3.82)10^{-4}

simplify

- lo g_{10} (3.82) 1 0^{- 4}

- \frac{1}{10000} lo g_{10} (382) + \frac{1}{5000}

Decimal Notation

- 0.00005 \dots

Solution steps

- lo g_{10} (3.82) \cdot 1 0^{- 4}

lo g_{10} (3.82) = lo g_{10} (382) - 2

= - (lo g_{10} (382) - 2) \cdot 1 0^{- 4}

- (lo g_{10} (382) - 2) \cdot 1 0^{- 4} = - \frac{1}{10000} lo g_{10} (382) + \frac{1}{5000}

= - \frac{1}{10000} lo g_{10} (382) + \frac{1}{5000}

(x^{2} - 9 x + 18)^{3 x + 4} (x^{2} - 9 x + 18)^{4 x + 3}

(100 - 1 0^{16}) \cdot (188.5 \cdot 1 0^{- 5})

2 \cdot 3.14 \cdot 100 \cdot 1^{- 3}

(3.5 x 1 0^{6}) x (7.2 x 1 0^{- 2})

(0.105 \cdot 0.105) \cdot (1.013 \cdot 1 0^{5})

What is simplify-log_{10}(3.82)10^{-4} ?
The solution to simplify-log_{10}(3.82)10^{-4} is -1/10000 log_{10}(382)+1/5000