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Popular >

simplify ln((x/2)/x)

Solution

simplify

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

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

ln (x) - ln (2) - ln (x) : - ln (2)

= - ln (2)

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Frequently Asked Questions (FAQ)

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