What is simplify-log_{10}(6.4)10^{-4} ?

The solution to simplify-log_{10}(6.4)10^{-4} is -3/5000 log_{10}(2)+1/10000

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simplify-log_{10}(6.4)10^{-4}

simplify

- lo g_{10} (6.4) 1 0^{- 4}

- \frac{3}{5000} lo g_{10} (2) + \frac{1}{10000}

Decimal Notation

- 0.00008 \dots

Solution steps

- lo g_{10} (6.4) \cdot 1 0^{- 4}

lo g_{10} (6.4) = 6 lo g_{10} (2) - 1

= - (6 lo g_{10} (2) - 1) \cdot 1 0^{- 4}

- (6 lo g_{10} (2) - 1) \cdot 1 0^{- 4} = - \frac{3}{5000} lo g_{10} (2) + \frac{1}{10000}

= - \frac{3}{5000} lo g_{10} (2) + \frac{1}{10000}

(9.25) (2.4 \cdot 1 0^{- 5}) (57)

3 e^{8} \cdot 6.63 e^{- 34}

(2 w^{5}) (8 w^{8}) (5 w^{7})

(3.2 x 1 0^{- 4}) (2.1 x 1 0^{- 3})

(2 p^{3}) \cdot p^{3}

What is simplify-log_{10}(6.4)10^{-4} ?
The solution to simplify-log_{10}(6.4)10^{-4} is -3/5000 log_{10}(2)+1/10000