simplify ln(45/50)

Solution

simplify

ln (\frac{45}{50})

ln (45) - ln (50)

Decimal Notation

- 0.10536 \dots

Solution steps

ln (\frac{45}{50})

Apply log rule:

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

ln (\frac{45}{50}) = ln (45) - ln (50)

= ln (45) - ln (50)

4 lo g_{10} (a) - 5 lo g_{10} (b)

- (\frac{- ln ( 2 ) - 5 ln ( x ) - 5}{x})

- 2 ln (cos (\frac{y ^{4}}{4}) + C)

ln (∣ x ∣^{\frac{1}{2}} ∣ x - 6 ∣^{\frac{1}{2}})

- 1 \cdot ln (\frac{x}{y})