What is ln((6.09)/(9.42*10^{-3)})*0.0002 ?

The solution to ln((6.09)/(9.42*10^{-3)})*0.0002 is 0.0002(ln(6.09)-ln((9.42)/(1000)))

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simplify ln((6.09)/(9.4210^{-3)})0.0002

simplify

ln (\frac{6.09}{9.42 \cdot 1 0 ^{- 3}}) \cdot 0.0002

0.0002 (ln (6.09) - ln (\frac{9.42}{1000}))

Decimal Notation

0.00129 \dots

Solution steps

ln (\frac{6.09}{9.42 \cdot 1 0 ^{- 3}}) \cdot 0.0002

Apply log rule:

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

ln (\frac{6.09}{9.42 \cdot 1 0 ^{- 3}}) = ln (6.09) - ln (9.42 \cdot 1 0^{- 3})

= 0.0002 (ln (6.09) - ln (1 0^{- 3} \cdot 9.42))

ln (9.42 \cdot 1 0^{- 3}) = ln (\frac{9.42}{1000})

= 0.0002 (ln (6.09) - ln (\frac{9.42}{1000}))

ln (\frac{249}{3999})

ln (500) + 3 ln (\frac{575}{500})

ln (\frac{2 t ^{2} - t - 6}{t + 1})

ln (x^{a} y^{b})

ln^{2} (t) + 2 \cdot ln (t)

What is ln((6.09)/(9.42*10^{-3)})*0.0002 ?
The solution to ln((6.09)/(9.42*10^{-3)})*0.0002 is 0.0002(ln(6.09)-ln((9.42)/(1000)))