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Popular >

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

Solution

simplify

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

Solution

- ln (x (x - 1))

Solution steps

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

Rewrite

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

as

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

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

Apply log rule:

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

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

= - ln (x (x - 1))

Popular Examples

simplify ln(8)+5ln(x)+4ln(x^2+3)simplify

ln (8) + 5 ln (x) + 4 ln (x^{2} + 3)

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

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ln (cos (5^{x}) 5^{x} ln (5))

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ln (x - 6) - ln (x + 6)

simplify ln(1/2)*20 simplify

ln (\frac{1}{2}) \cdot 20

Frequently Asked Questions (FAQ)

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