simplify ln(1/96)

Solution

simplify

ln (\frac{1}{96})

- ln (96)

Decimal Notation

- 4.56434 \dots

Solution steps

ln (\frac{1}{96})

Apply log rule:

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

ln (\frac{1}{96}) = ln (1) - ln (96)

= ln (1) - ln (96)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (96)

0 - ln (96) = - ln (96)

= - ln (96)

ln (x - 10) - ln (x - 1)

- ln (\frac{1}{a})

lo g_{10} ((8^{34}) (2^{43}) (1 6^{68}))

ln (sin (a) x)

ln ((0.5 - \frac{0.044315}{2}) \cdot 1.05)