simplify ln(1/60)

Solution

simplify

ln (\frac{1}{60})

- ln (60)

Decimal Notation

- 4.09434 \dots

Solution steps

ln (\frac{1}{60})

Apply log rule:

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

ln (\frac{1}{60}) = ln (1) - ln (60)

= ln (1) - ln (60)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (60)

0 - ln (60) = - ln (60)

= - ln (60)

59 ln (\frac{1}{100})

lo g_{10} (\frac{1}{1 0 ^{521}})

ln (\frac{( 9 x + 16 y )}{( e ^{(1)} x ^{(2)} )})

- lo g_{10} (6.9 \cdot 1 0^{- 10})

lo g_{3} (sin (x) cos (x)) - lo g_{3} (3^{x} e^{x})