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

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

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

simplify

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

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

Solution steps

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

Rewrite

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

- ln (\frac{3}{11})

- lo g_{10} (4.83 x 1 0^{- 5})

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

ln (x^{2} + x) - ln (x + 1)

3 ln (x) - 2 ln (y) + 4 ln (z)

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