What is ln((16)/(14+sqrt(3))) ?

The solution to ln((16)/(14+sqrt(3))) is 4ln(2)-ln(14+sqrt(3))

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simplify ln((16)/(14+sqrt(3)))

simplify

ln (\frac{16}{14 + 3})

4 ln (2) - ln (14 + 3)

Decimal Notation

0.01688 \dots

Solution steps

ln (\frac{16}{14 + 3})

Apply log rule:

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

ln (\frac{16}{14 + 3}) = ln (16) - ln (14 + 3)

= ln (16) - ln (14 + 3)

ln (16) = 4 ln (2)

= 4 ln (2) - ln (14 + 3)

cos (x y) + e^{yz} + ln (x z)

\frac{ln ( 3 ) - 5 ln ( 2 )}{4 ln ( 2 )}

ln (- 2 c)

ln (\frac{2 x + 1}{1 - 2 x})

ln (1 + x y) + ln (1 - z)

What is ln((16)/(14+sqrt(3))) ?
The solution to ln((16)/(14+sqrt(3))) is 4ln(2)-ln(14+sqrt(3))