simplify ln(50/100)

Solution

simplify

ln (\frac{50}{100})

ln (50) - 2 ln (10)

Decimal Notation

- 0.69314 \dots

Solution steps

ln (\frac{50}{100})

Apply log rule:

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

ln (\frac{50}{100}) = ln (50) - ln (100)

= ln (50) - ln (100)

ln (100) = 2 ln (10)

= ln (50) - 2 ln (10)

\frac{2}{3} lo g_{2} (x) - 3 lo g_{2} (y)

ln (\frac{3 x 1 + 5 x}{( x - 6 ) ^{8}})

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

lo g_{7} (x y^{3})

- lo g_{10} (4 \times 1 0^{- 3})