What is simplify-(-ln(x)+ln(x-1)) ?

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

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simplify-(-ln(x)+ln(x-1))

simplify

- (- ln (x) + ln (x - 1))

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

Solution steps

- (- ln (x) + ln (x - 1))

Apply log rule:

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

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

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

Remove parentheses:

(a) = a

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

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

ln (\frac{a ^{1}}{b ^{1} c ^{- 1}})

- lo g_{10} (3.6 \cdot 1 0^{- 10})

2 ln (x) - 3 ln (z) - ln (w)

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

What is simplify-(-ln(x)+ln(x-1)) ?
The solution to simplify-(-ln(x)+ln(x-1)) is -ln((x-1)/x)