simplify ln(5625/8)

Solution

simplify

ln (\frac{5625}{8})

2 ln (75) - 3 ln (2)

Decimal Notation

6.55553 \dots

Solution steps

ln (\frac{5625}{8})

Apply log rule:

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

ln (\frac{5625}{8}) = ln (5625) - ln (8)

= ln (5625) - ln (8)

ln (5625) = 2 ln (75)

ln (8) = 3 ln (2)

= 2 ln (75) - 3 ln (2)

ln (\frac{( 68 )}{( - 30 )})

ln (2 x) - ln (6 x) + ln (3 x)

ln (a + 1) - ln (2 + 1)

- ln (\frac{12 - 120}{- 120}) (115)

ln (2 \cdot e^{2})