What is 1.1-(0.0257)/2 ln((0.25)/1) ?

The solution to 1.1-(0.0257)/2 ln((0.25)/1) is 1.1-(0.0257)/2 ln(0.25)

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simplify 1.1-(0.0257)/2 ln((0.25)/1)

simplify

1.1 - \frac{0.0257}{2} ln (\frac{0.25}{1})

1.1 - \frac{0.0257}{2} ln (0.25)

Decimal Notation

1.11781 \dots

Solution steps

1.1 - \frac{0.0257}{2} ln (\frac{0.25}{1})

Apply log rule:

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

ln (\frac{0.25}{1}) = ln (0.25) - ln (1)

= 1.1 - \frac{0.0257}{2} (ln (0.25) - ln (1))

\frac{0.0257}{2} (ln (0.25) - ln (1)) = \frac{0.0257}{2} ln (0.25)

= 1.1 - \frac{0.0257}{2} ln (0.25)

ln (\frac{2 ^{- 4}}{3 ^{- 3} 5 ^{- 1}})

ln (\frac{78}{175}) 6

lo g_{10} (\frac{8 z}{11})

\frac{1}{2} lo g_{10} (a) + \frac{1}{2} lo g_{10} (b)

- lo g_{10} (4.5 \times 1 0^{- 4})

What is 1.1-(0.0257)/2 ln((0.25)/1) ?
The solution to 1.1-(0.0257)/2 ln((0.25)/1) is 1.1-(0.0257)/2 ln(0.25)