simplify ln(15/4)

Solution

simplify

ln (\frac{15}{4})

ln (15) - 2 ln (2)

Decimal Notation

1.32175 \dots

Solution steps

ln (\frac{15}{4})

Apply log rule:

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

ln (\frac{15}{4}) = ln (15) - ln (4)

= ln (15) - ln (4)

ln (4) = 2 ln (2)

= ln (15) - 2 ln (2)

\frac{1}{2} ln (x) + 3 ln (5)

20 lo g_{10} (\frac{p}{2 \cdot 1 0 ^{- 4}})

2000 ln (\frac{14000}{14000 - 2100 ( 1 )}) - 9.8 (1)

2 ln (x - 1) - \frac{1}{2} ln (y) - 3 ln (y)

ln (\frac{tan ^{2} ( x )}{e ^{4 x^{2}} ∣ x ^{5} ∣})