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Popular >

simplify ln(x/(x-1))

Solution

simplify

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

Solution

ln (x) - ln (x - 1)

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify ln(5)-2ln(6)-ln(25)simplify

ln (5) - 2 ln (6) - ln (25)

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ln (2 \cdot 5^{2})

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ln (2 e) - 1

changebase log_{7}(4)change base

lo g_{7} (4)

domain of f(y)= 1/2 (ln(y-1)-ln(y+1))domain

f (y) = \frac{1}{2} (ln (y - 1) - ln (y + 1))

Frequently Asked Questions (FAQ)

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