simplify ln(3/22)

Solution

simplify

ln (\frac{3}{22})

ln (3) - ln (22)

Decimal Notation

- 1.99243 \dots

Solution steps

ln (\frac{3}{22})

Apply log rule:

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

ln (\frac{3}{22}) = ln (3) - ln (22)

= ln (3) - ln (22)

\frac{- ( \frac{y}{x} ) ^{2}}{2} + \frac{8}{7} \frac{y}{x} - \frac{3}{7} ln (\frac{y}{x})

8.07428 ln \frac{P}{( P - 90 )} - 8.07428 ln (\frac{4}{41})

- lo g_{10} (3.98 \cdot 1 0^{- 7})

3.14 + lo g_{10} (\frac{1.875}{0.625})

e ln (ey) - e - ln (y) + 1