What is ln((((7+3sqrt(5))/2))/(6)) ?

The solution to ln((((7+3sqrt(5))/2))/(6)) is ln(7+3sqrt(5))-ln(2)-ln(6)

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simplify ln((((7+3sqrt(5))/2))/(6))

simplify

ln \frac{( \frac{7 + 3 5}{2} )}{6}

ln (7 + 35) - ln (2) - ln (6)

Decimal Notation

0.13308 \dots

Solution steps

ln \frac{( \frac{7 + 3 5}{2} )}{6}

Apply log rule:

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

ln \frac{( \frac{7 + 3 5}{2} )}{6} = ln ((\frac{7 + 3 5}{2})) - ln (6)

= ln (\frac{7 + 3 5}{2}) - ln (6)

Apply log rule:

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

ln (\frac{7 + 3 5}{2}) = ln (7 + 35) - ln (2)

= ln (7 + 35) - ln (2) - ln (6)

ln (\frac{1}{96})

ln (x - 10) - ln (x - 1)

- ln (\frac{1}{a})

lo g_{10} ((8^{34}) (2^{43}) (1 6^{68}))

ln (sin (a) x)

What is ln((((7+3sqrt(5))/2))/(6)) ?
The solution to ln((((7+3sqrt(5))/2))/(6)) is ln(7+3sqrt(5))-ln(2)-ln(6)