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Popular >

simplify ln((2x)/(x-1))

Solution

simplify

ln (\frac{2 x}{x - 1})

Solution

ln (2) + ln (x) - ln (x - 1)

Solution steps

ln (\frac{2 x}{x - 1})

Apply log rule:

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

ln (\frac{2 x}{x - 1}) = ln (2 x) - ln (x - 1)

= ln (2 x) - ln (x - 1)

Apply log rule:

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

ln (2 x) = ln (2) + ln (x)

= ln (2) + ln (x) - ln (x - 1)

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Frequently Asked Questions (FAQ)

What is ln((2x)/(x-1)) ?
The solution to ln((2x)/(x-1)) is ln(2)+ln(x)-ln(x-1)