What is simplify-ln((n-i)/i) ?

The solution to simplify-ln((n-i)/i) is -ln(n-i)+ln(i)

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simplify-ln((n-i)/i)

simplify

- ln (\frac{n - i}{i})

- ln (n - i) + ln (i)

Solution steps

- ln (\frac{n - i}{i})

Apply log rule:

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

ln (\frac{n - i}{i}) = ln (n - i) - ln (i)

= - (ln (n - i) - ln (i))

Distribute parentheses

= - (ln (n - i)) - (- ln (i))

Apply minus-plus rules

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

= - ln (n - i) + ln (i)

ln (144) - ln (100)

4 ln ∣ 2 x + 1 ∣ - 2 ln ∣ x + 1 ∣

ln (\frac{273}{300})

ln (\frac{e ^{2}}{e ^{3}}) + 2 ln (3)

5 ln (2) - 2 ln (\frac{7}{2})

What is simplify-ln((n-i)/i) ?
The solution to simplify-ln((n-i)/i) is -ln(n-i)+ln(i)