What is ln((4+sqrt(20))/2) ?

The solution to ln((4+sqrt(20))/2) is ln(4+2sqrt(5))-ln(2)

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simplify ln((4+sqrt(20))/2)

simplify

ln (\frac{4 + 20}{2})

ln (4 + 25) - ln (2)

Decimal Notation

1.44363 \dots

Solution steps

ln (\frac{4 + 20}{2})

Apply log rule:

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

ln (\frac{4 + 20}{2}) = ln (4 + 20) - ln (2)

= ln (4 + 20) - ln (2)

20 = 25

= ln (4 + 25) - ln (2)

ln (\frac{x ^{2} + 5 x + 6}{x + 3})

ln (48) - ln (15) - ln (7) + ln (4)

ln (\frac{1.36}{12})

ln (2 (e^{x} + 1)^{2}) + ln (c)

ln (6 (1 - e^{- 5}))

What is ln((4+sqrt(20))/2) ?
The solution to ln((4+sqrt(20))/2) is ln(4+2sqrt(5))-ln(2)