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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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