What is ln(x/y)*(-1) ?

The solution to ln(x/y)*(-1) is -ln(x)+ln(y)

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simplify ln(x/y)*(-1)

simplify

ln (\frac{x}{y}) \cdot (- 1)

- ln (x) + ln (y)

Solution steps

ln (\frac{x}{y}) (- 1)

Apply log rule:

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

ln (\frac{x}{y}) = ln (x) - ln (y)

= (- 1) (ln (x) - ln (y))

Remove parentheses:

(- a) = - a

= - (ln (x) - ln (y)) \cdot 1

Multiply:

(ln (x) - ln (y)) \cdot 1 = (ln (x) - ln (y))

= - (ln (x) - ln (y))

Distribute parentheses

= - (ln (x)) - (- ln (y))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (x) + ln (y)

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ln (- 2) + ln (- 3)