What is simplify-ln(((x-y))/x) ?

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

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

simplify

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

- ln (x - y) + ln (x)

Solution steps

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

Apply log rule:

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

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

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

Remove parentheses:

(a) = a

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

Remove parentheses:

(a) = a

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

Distribute parentheses

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

Apply minus-plus rules

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

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

6 lo g_{b} (3 w + 1) + \frac{1}{4} lo g_{b} (w + 9)

ln (\frac{θ ^{3}}{a ( 3 )} 2^{2} e^{2 θ})

lo g_{e} (2 π)

- 2 ln (\frac{3}{4}) + ln (\frac{5}{9})

- lo g_{10} (7.15 x 1 0^{- 5})

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