What is simplify-ln((1000-x)/(9x)) ?

The solution to simplify-ln((1000-x)/(9x)) is -ln(1000-x)+ln(9x)

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simplify-ln((1000-x)/(9x))

simplify

- ln (\frac{1000 - x}{9 x})

- ln (1000 - x) + ln (9 x)

Solution steps

- ln (\frac{1000 - x}{9 x})

Apply log rule:

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

ln (\frac{1000 - x}{9 x}) = ln (1000 - x) - ln (9 x)

= - (ln (- x + 1000) - ln (9 x))

Distribute parentheses

= - (ln (1000 - x)) - (- ln (9 x))

Apply minus-plus rules

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

= - ln (1000 - x) + ln (9 x)

lo g_{9} (z^{2} x)

ln (3) - ln (0.1)

ln (\frac{x ^{2} + 1}{x + 2})

ln (3 a)

ln (11) - ln (2)

What is simplify-ln((1000-x)/(9x)) ?
The solution to simplify-ln((1000-x)/(9x)) is -ln(1000-x)+ln(9x)