simplify ln(1/4)-1

Solution

simplify

ln (\frac{1}{4}) - 1

- 2 ln (2) - 1

Solution steps

ln (\frac{1}{4}) - 1

Apply log rule:

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

ln (\frac{1}{4}) = ln (1) - ln (4)

= ln (1) - ln (4) - 1

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (4) - 1

Subtract the numbers:

0 - 1 = - 1

= - ln (4) - 1

ln (4) = 2 ln (2)

= - 2 ln (2) - 1

ln (y + 1) + ln (1 - y)

4.75 + lo g_{10} (\frac{3.2}{1})

2100 (ln (273.11) - ln (233))

ln (0.89 x 1 0^{- 14})

ln (y) + ln (t)