simplify ln(1/72)

Solution

simplify

ln (\frac{1}{72})

- ln (72)

Decimal

- 4.27666 \dots

Solution steps

ln (\frac{1}{72})

Apply log rule:

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

ln (\frac{1}{72}) = ln (1) - ln (72)

= ln (1) - ln (72)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (72)

0 - ln (72) = - ln (72)

= - ln (72)

lo g_{10} (x) - \frac{1}{2} lo g_{10} (y) + 3 lo g_{10} (z)

lo g_{10} (\frac{x}{y})

ln (a) - ln (d) - ln (c)

lo g_{10} (100 x)

ln (\frac{1}{4 ^{k}})