simplify ln(51/256)

Solution

simplify

ln (\frac{51}{256})

ln (51) - 8 ln (2)

Decimal Notation

- 1.61335 \dots

Solution steps

ln (\frac{51}{256})

Apply log rule:

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

ln (\frac{51}{256}) = ln (51) - ln (256)

= ln (51) - ln (256)

ln (256) = 8 ln (2)

= ln (51) - 8 ln (2)

lo g_{10} (2 v t^{2 x})

lo g_{6} (\frac{49}{5})

lo g_{10} (- 3 x)

\frac{1}{2} ln (2 (7) + 1) + 2 ln (7 - 1) + c

ln^{2} (5 x) + 3