simplify ln(1/(dy))

Solution

simplify

ln (\frac{1}{d y})

- ln (d y)

Solution steps

ln (\frac{1}{d y})

Apply log rule:

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

ln (\frac{1}{d y}) = ln (1) - ln (d y)

= ln (1) - ln (d y)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (d y)

0 - ln (d y) = - ln (d y)

= - ln (d y)

7 lo g_{c} (z - 5) - 5 lo g_{c} (z + 5)

ln (21) - ln (7)

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

\frac{1}{2} ln (28000)

ln (\frac{5 \cdot 1 0 ^{- 3}}{5 \cdot 1 0 ^{- 4}})