What is ln(55/50)+(0.06+0.5*0.4^2)*0.5 ?

The solution to ln(55/50)+(0.06+0.5*0.4^2)*0.5 is ln(55)-ln(50)+0.07

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simplify ln(55/50)+(0.06+0.50.4^2)0.5

simplify

ln (\frac{55}{50}) + (0.06 + 0.5 \cdot 0. 4^{2}) \cdot 0.5

ln (55) - ln (50) + 0.07

Decimal Notation

0.16531 \dots

Solution steps

ln (\frac{55}{50}) + (0.06 + 0.5 \cdot 0. 4^{2}) \cdot 0.5

Apply log rule:

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

ln (\frac{55}{50}) = ln (55) - ln (50)

= ln (55) - ln (50) + 0.5 (0. 4^{2} \cdot 0.5 + 0.06)

(0.06 + 0.5 \cdot 0. 4^{2}) \cdot 0.5 = 0.07

= ln (55) - ln (50) + 0.07

ln (\frac{36}{11}) t + ln (\frac{1}{24})

ln (24 e^{- x - y}) + ln (15 e^{3 x - y})

- ln (\frac{3.8}{16}) - ln (\frac{5}{16})

- lo g_{10} (4.51 \cdot 1 0^{- 6})

- lo g_{10} (2.3 \cdot 1 0^{- 4})

What is ln(55/50)+(0.06+0.5*0.4^2)*0.5 ?
The solution to ln(55/50)+(0.06+0.5*0.4^2)*0.5 is ln(55)-ln(50)+0.07