simplify 15ln(87/8)

Solution

simplify

15 ln (\frac{87}{8})

15 (ln (87) - 3 ln (2))

Decimal Notation

35.79699 \dots

Solution steps

15 ln (\frac{87}{8})

Apply log rule:

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

ln (\frac{87}{8}) = ln (87) - ln (8)

= 15 (ln (87) - ln (8))

ln (8) = 3 ln (2)

= 15 (ln (87) - 3 ln (2))

33.6 \cdot ln (\frac{44}{100})

ln (\frac{1}{r})

2.6 - 200 ln (103) + 0.15 ln (110)

2 (ln (e^{3}) - ln (x y))

\frac{1}{2} ln (\frac{7}{3})