What is ln((4+sqrt(12))/2) ?

The solution to ln((4+sqrt(12))/2) is ln(4+2sqrt(3))-ln(2)

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simplify ln((4+sqrt(12))/2)

simplify

ln (\frac{4 + 12}{2})

ln (4 + 23) - ln (2)

Solution steps

ln (\frac{4 + 12}{2})

Apply log rule:

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

ln (\frac{4 + 12}{2}) = ln (4 + 12) - ln (2)

= ln (4 + 12) - ln (2)

12 = 23

= ln (4 + 23) - ln (2)

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What is ln((4+sqrt(12))/2) ?
The solution to ln((4+sqrt(12))/2) is ln(4+2sqrt(3))-ln(2)