What is simplify-log_{10}(3.2)10^{-4} ?

The solution to simplify-log_{10}(3.2)10^{-4} is -1/2000 log_{10}(2)+1/10000

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simplify-log_{10}(3.2)10^{-4}

simplify

- lo g_{10} (3.2) 1 0^{- 4}

- \frac{1}{2000} lo g_{10} (2) + \frac{1}{10000}

Decimal Notation

- 0.00005 \dots

Solution steps

- lo g_{10} (3.2) \cdot 1 0^{- 4}

lo g_{10} (3.2) = 5 lo g_{10} (2) - 1

= - (5 lo g_{10} (2) - 1) \cdot 1 0^{- 4}

- (5 lo g_{10} (2) - 1) \cdot 1 0^{- 4} = - \frac{1}{2000} lo g_{10} (2) + \frac{1}{10000}

= - \frac{1}{2000} lo g_{10} (2) + \frac{1}{10000}

2.3 \cdot 1 0^{- 5} e^{(- \frac{148000}{8.314 \cdot 900})}

10.2 \cdot 1 0^{- 3}

- 4 \cdot 8.314 \cdot 1 0^{- 3} \cdot 298.15

\frac{7}{3 y}

100 \cdot e^{- j 12 0^{\circ}}

What is simplify-log_{10}(3.2)10^{-4} ?
The solution to simplify-log_{10}(3.2)10^{-4} is -1/2000 log_{10}(2)+1/10000