simplify ln(99/49)

Solution

simplify

ln (\frac{99}{49})

ln (99) - 2 ln (7)

Decimal Notation

0.70329 \dots

Solution steps

ln (\frac{99}{49})

Apply log rule:

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

ln (\frac{99}{49}) = ln (99) - ln (49)

= ln (99) - ln (49)

ln (49) = 2 ln (7)

= ln (99) - 2 ln (7)

ln (\frac{4 x - 2}{3 x - 1})

ln (\frac{x + a}{x ^{2} + a ^{2}})

ln (\frac{1}{2} (x^{2} - 6 x + 5))

- ln ∣ 6.1 - 3 ∣ + 2 ln ∣ 6.1 - 2 ∣ + c

lo g_{2} (a) + \frac{1}{2} lo g_{2} (b) - 3 lo g_{2} (c)