simplify 18ln(1/2)

Solution

simplify

18 ln (\frac{1}{2})

- 18 ln (2)

Solution steps

18 ln (\frac{1}{2})

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= 18 (ln (1) - ln (2))

Apply log rule:

lo g_{a} (1) = 0

= 18 (- ln (2) + 0)

0 - ln (2) = - ln (2)

= 18 (- ln (2))

Remove parentheses:

(- a) = - a

= - 18 ln (2)

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