What is 20log_{10}((2.5*10^{-3})/2)+4 ?

The solution to 20log_{10}((2.5*10^{-3})/2)+4 is 20(log_{10}((2.5)/(1000))-log_{10}(2))+4

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simplify 20log_{10}((2.5*10^{-3})/2)+4

simplify

20 lo g_{10} (\frac{2.5 \cdot 1 0 ^{- 3}}{2}) + 4

20 (lo g_{10} (\frac{2.5}{1000}) - lo g_{10} (2)) + 4

Decimal Notation

- 54.06179 \dots

Solution steps

20 lo g_{10} (\frac{2.5 \cdot 1 0 ^{- 3}}{2}) + 4

Apply log rule:

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

lo g_{10} (\frac{2.5 \cdot 1 0 ^{- 3}}{2}) = lo g_{10} (2.5 \cdot 1 0^{- 3}) - lo g_{10} (2)

= 20 (lo g_{10} (1 0^{- 3} \cdot 2.5) - lo g_{10} (2)) + 4

lo g_{10} (2.5 \cdot 1 0^{- 3}) = lo g_{10} (\frac{2.5}{1000})

= 20 (lo g_{10} (\frac{2.5}{1000}) - lo g_{10} (2)) + 4

- ln (x) + 9 ln (y) - 3 ln (z)

ln (\frac{n + 1}{n - 1})

ln (\frac{x}{e ^{x} ( x + 3 ) ^{2}})

ln (\frac{x ^{9} x ^{2} + 2}{( x + 2 ) ^{5}})

\frac{2.3 \cdot 9 \cdot 12}{150 \cdot 10800} \cdot ln (\frac{70}{30})

What is 20log_{10}((2.5*10^{-3})/2)+4 ?
The solution to 20log_{10}((2.5*10^{-3})/2)+4 is 20(log_{10}((2.5)/(1000))-log_{10}(2))+4