What is 0.8+1.4*ln((pi*100^2)/(1200)) ?

The solution to 0.8+1.4*ln((pi*100^2)/(1200)) is 0.8+1.4(ln(10000pi)-ln(1200))

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simplify 0.8+1.4ln((pi100^2)/(1200))

simplify

0.8 + 1.4 \cdot ln (\frac{π \cdot 10 0 ^{2}}{1200})

0.8 + 1.4 (ln (10000 π) - ln (1200))

Decimal Notation

5.37099 \dots

Solution steps

0.8 + 1.4 ln (\frac{π 10 0 ^{2}}{1200})

Apply log rule:

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

ln (\frac{π 10 0 ^{2}}{1200}) = ln (π 10 0^{2}) - ln (1200)

= 0.8 + 1.4 (ln (10 0^{2} π) - ln (1200))

10 0^{2} = 10000

= 0.8 + 1.4 (ln (10000 π) - ln (1200))

ln (16 \cdot 1 0^{3})

ln (\frac{233955}{388533}) - ln (1 - \frac{233955}{388533})

(1.3)^{2} + ln (\frac{1}{1.3}) - ln (2 e^{1})

lo g_{4}^{2} (x) + lo g_{4} ((x))

- lo g_{10} (1.25 \cdot 1 0^{- 2})

What is 0.8+1.4*ln((pi*100^2)/(1200)) ?
The solution to 0.8+1.4*ln((pi*100^2)/(1200)) is 0.8+1.4(ln(10000pi)-ln(1200))