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Popular >

simplify ln(1/(x-1))

Solution

simplify

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

Solution

- ln (x - 1)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (x - 1)

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

= - ln (x - 1)

Popular Examples

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ln (x^{2} - 64) - ln (x + 8)

simplify 1/2 log_{c}(x)+3log_{c}(y)-4log_{c}(x)simplify

\frac{1}{2} lo g_{c} (x) + 3 lo g_{c} (y) - 4 lo g_{c} (x)

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ln (y) - ln (3)

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lo g_{10} (2) + lo g_{10} (6)

Frequently Asked Questions (FAQ)

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