What is 0.057-(0.0592)/2 ln(1/(sqrt(0.21))) ?

The solution to 0.057-(0.0592)/2 ln(1/(sqrt(0.21))) is 0.057+(0.0592)/4 ln(0.21)

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simplify 0.057-(0.0592)/2 ln(1/(sqrt(0.21)))

simplify

0.057 - \frac{0.0592}{2} ln (\frac{1}{0.21})

0.057 + \frac{0.0592}{4} ln (0.21)

Decimal Notation

0.03390 \dots

Solution steps

0.057 - \frac{0.0592}{2} ln (\frac{1}{0.21})

Apply log rule:

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

ln (\frac{1}{0.21}) = ln (1) - ln (0.21)

= 0.057 - \frac{0.0592}{2} (ln (1) - ln (0.21))

\frac{0.0592}{2} (ln (1) - ln (0.21)) = - \frac{0.0592}{4} ln (0.21)

= 0.057 - (- \frac{0.0592}{4} ln (0.21))

Apply rule

- (- a) = a

= 0.057 + ln (0.21) \frac{0.0592}{4}

- 0.6 \cdot lo g_{2} (0.6) - (1 - 0.6) \cdot lo g_{2} (1 - 0.6)

lo g_{\frac{0.25}{450}} (- 2 lo g_{4.5} (x))

- lo g_{10} (5.27 \cdot 1 0^{- 6})

10 lo g_{10} (\frac{1}{86400} 1 0^{\frac{115}{10}})

\frac{1}{8} ln (\frac{22}{- 4})

What is 0.057-(0.0592)/2 ln(1/(sqrt(0.21))) ?
The solution to 0.057-(0.0592)/2 ln(1/(sqrt(0.21))) is 0.057+(0.0592)/4 ln(0.21)