simplify ln(25/36)

Solution

simplify

ln (\frac{25}{36})

2 ln (5) - 2 ln (6)

Decimal Notation

- 0.36464 \dots

Solution steps

ln (\frac{25}{36})

Apply log rule:

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

ln (\frac{25}{36}) = ln (25) - ln (36)

= ln (25) - ln (36)

ln (25) = 2 ln (5)

ln (36) = 2 ln (6)

= 2 ln (5) - 2 ln (6)

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

lo g_{8} (\frac{1}{625})

ln (\frac{9.96087}{0.46087})

ln (- 1.2 \cdot 1 0^{4})

ln (\frac{sin ( x )}{y})