What is ln((5+sqrt(21))/2) ?

The solution to ln((5+sqrt(21))/2) is ln(5+sqrt(21))-ln(2)

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simplify ln((5+sqrt(21))/2)

simplify

ln (\frac{5 + 21}{2})

ln (5 + 21) - ln (2)

Decimal Notation

1.56679 \dots

Solution steps

ln (\frac{5 + 21}{2})

Apply log rule:

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

ln (\frac{5 + 21}{2}) = ln (5 + 21) - ln (2)

= ln (5 + 21) - ln (2)

\frac{1}{2} lo g_{10} (x) - lo g_{10} (y) + lo g_{10} (9 z)

ln (x^{3} - 1) - ln (x^{2} + x + 1)

lo g_{5} (\frac{w}{2 b})

- (\frac{2}{5} lo g_{2} (\frac{2}{5}) + \frac{3}{5} lo g_{2} (\frac{3}{5}))

What is ln((5+sqrt(21))/2) ?
The solution to ln((5+sqrt(21))/2) is ln(5+sqrt(21))-ln(2)