What is 0.46+(0.025963)/2 ln((0.0155)/(3.5)) ?

The solution to 0.46+(0.025963)/2 ln((0.0155)/(3.5)) is 0.46+(0.025963)/2 (ln(0.0155)-ln(3.5))

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simplify 0.46+(0.025963)/2 ln((0.0155)/(3.5))

simplify

0.46 + \frac{0.025963}{2} ln (\frac{0.0155}{3.5})

0.46 + \frac{0.025963}{2} (ln (0.0155) - ln (3.5))

Decimal Notation

0.38964 \dots

Solution steps

0.46 + \frac{0.025963}{2} ln (\frac{0.0155}{3.5})

Apply log rule:

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

ln (\frac{0.0155}{3.5}) = ln (0.0155) - ln (3.5)

= 0.46 + \frac{0.025963}{2} (ln (0.0155) - ln (3.5))

\frac{15}{4} ln (2)

6 ln (7) - 9 ln (8)

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

ln (\frac{10}{1000000})

- lo g_{10} (7.5 \cdot 1 0^{- 9})

What is 0.46+(0.025963)/2 ln((0.0155)/(3.5)) ?
The solution to 0.46+(0.025963)/2 ln((0.0155)/(3.5)) is 0.46+(0.025963)/2 (ln(0.0155)-ln(3.5))