What is ln(90/100)+(1/2*0.2^2-0.1)*1 ?

The solution to ln(90/100)+(1/2*0.2^2-0.1)*1 is ln(90)-2ln(10)+(0.04)/2-0.1

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simplify ln(90/100)+(1/20.2^2-0.1)1

simplify

ln (\frac{90}{100}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.1) \cdot 1

ln (90) - 2 ln (10) + \frac{0.04}{2} - 0.1

Decimal Notation

- 0.18536 \dots

Solution steps

ln (\frac{90}{100}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.1) \cdot 1

Apply log rule:

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

ln (\frac{90}{100}) = ln (90) - ln (100)

= ln (90) - ln (100) + 1 \cdot (0. 2^{2} \cdot \frac{1}{2} - 0.1)

(\frac{1}{2} \cdot 0. 2^{2} - 0.1) \cdot 1 = \frac{0.04}{2} - 0.1

= ln (90) - ln (100) + \frac{0.04}{2} - 0.1

ln (100) = 2 ln (10)

= ln (90) - 2 ln (10) + \frac{0.04}{2} - 0.1

ln (\frac{20}{4})

ln (x (x - 1)^{x})

0.796 + 0.05916 lo g_{10} (1.587 \cdot 1 0^{- 6})

ln (\frac{1}{11})

ln (8) - ln (16)

What is ln(90/100)+(1/2*0.2^2-0.1)*1 ?
The solution to ln(90/100)+(1/2*0.2^2-0.1)*1 is ln(90)-2ln(10)+(0.04)/2-0.1