What is 100/9 ln((3.8)/4) ?

The solution to 100/9 ln((3.8)/4) is 100/9 (ln(3.8)-2ln(2))

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simplify 100/9 ln((3.8)/4)

simplify

\frac{100}{9} ln (\frac{3.8}{4})

\frac{100}{9} (ln (3.8) - 2 ln (2))

Decimal Notation

- 0.56992 \dots

Solution steps

\frac{100}{9} ln (\frac{3.8}{4})

Apply log rule:

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

ln (\frac{3.8}{4}) = ln (3.8) - ln (4)

= \frac{100}{9} (ln (3.8) - ln (4))

ln (4) = 2 ln (2)

= \frac{100}{9} (ln (3.8) - 2 ln (2))

lo g_{6} ((\frac{8 \cdot 7}{3 ^{5}})^{4})

ln u^{2} - 3 u + 1 + 2 ln ∣ y ∣

(2 + 2 ln (2) + \frac{1}{2} + ln (3)) - (1 - 2 ln (1) + 1 + ln (2))

lo g_{2} (\frac{4 x ^{3}}{x ^{2} - 3 x - 18})

ln (6) + ln (\frac{e ^{(2.48199)}}{3})

What is 100/9 ln((3.8)/4) ?
The solution to 100/9 ln((3.8)/4) is 100/9 (ln(3.8)-2ln(2))