simplify ln(10/1)

Solution

simplify

ln (\frac{10}{1})

ln (10)

Decimal Notation

2.30258 \dots

Solution steps

ln (\frac{10}{1})

Apply log rule:

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

ln (\frac{10}{1}) = ln (10) - ln (1)

= ln (10) - ln (1)

Apply log rule:

lo g_{a} (1) = 0

= ln (10) - 0

ln (10) - 0 = ln (10)

= ln (10)

lo g_{10} (\frac{z ^{2} y}{x ^{2}})

lo g_{3} (12 x^{7})

lo g_{10} (4 \cdot 1 0^{- 5})

3 ln (x) - 3 ln (y)

ln (y) - ln (y - 1)