What is 0-(0.025693)/2 ln(3/(2.4*10^{-3)}) ?

The solution to 0-(0.025693)/2 ln(3/(2.4*10^{-3)}) is -(0.025693)/2 (ln(3)-ln((2.4)/(1000)))

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simplify 0-(0.025693)/2 ln(3/(2.4*10^{-3)})

simplify

0 - \frac{0.025693}{2} ln (\frac{3}{2.4 \cdot 1 0 ^{- 3}})

- \frac{0.025693}{2} (ln (3) - ln (\frac{2.4}{1000}))

Decimal Notation

- 0.09160 \dots

Solution steps

0 - \frac{0.025693}{2} ln (\frac{3}{2.4 \cdot 1 0 ^{- 3}})

Apply log rule:

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

ln (\frac{3}{2.4 \cdot 1 0 ^{- 3}}) = ln (3) - ln (2.4 \cdot 1 0^{- 3})

= 0 - \frac{0.025693}{2} (ln (3) - ln (1 0^{- 3} \cdot 2.4))

ln (2.4 \cdot 1 0^{- 3}) = ln (\frac{2.4}{1000})

= 0 - \frac{0.025693}{2} (ln (3) - ln (\frac{2.4}{1000}))

0 - \frac{0.025693}{2} (ln (3) - ln (\frac{2.4}{1000})) = - \frac{0.025693}{2} (ln (3) - ln (\frac{2.4}{1000}))

= - \frac{0.025693}{2} (ln (3) - ln (\frac{2.4}{1000}))

ln (\frac{x ^{2} cos ( x )}{1 + x})

2 - \frac{1}{2} lo g_{10} (x) - 2 lo g_{10} (y)

\frac{3 ln ( 7 ) + 7 ln ( 2 )}{ln ( 7 ) - 2 ln ( 2 )} - 0

3 lo g_{2} (x) - 2 lo g_{2} (y) + \frac{1}{2} lo g_{2} (z)

ln (12) - ln (25)

What is 0-(0.025693)/2 ln(3/(2.4*10^{-3)}) ?
The solution to 0-(0.025693)/2 ln(3/(2.4*10^{-3)}) is -(0.025693)/2 (ln(3)-ln((2.4)/(1000)))