What is 0.1ln((20+sqrt(409))/3) ?

The solution to 0.1ln((20+sqrt(409))/3) is 0.1(ln(20+sqrt(409))-ln(3))

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simplify 0.1ln((20+sqrt(409))/3)

simplify

0.1 ln (\frac{20 + 409}{3})

0.1 (ln (20 + 409) - ln (3))

Decimal Notation

0.25958 \dots

Solution steps

0.1 ln (\frac{20 + 409}{3})

Apply log rule:

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

ln (\frac{20 + 409}{3}) = ln (20 + 409) - ln (3)

= 0.1 (ln (20 + 409) - ln (3))

ln (\frac{x + 2}{x})

lo g_{10} (\frac{17 x}{y})

ln (3 x^{5} y)

\frac{1}{5} x^{5} (3 ln (2) + 2 ln (x))

ln (\frac{393}{373})

What is 0.1ln((20+sqrt(409))/3) ?
The solution to 0.1ln((20+sqrt(409))/3) is 0.1(ln(20+sqrt(409))-ln(3))