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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{\frac{x}{2} + 1}{\frac{x}{2} - 1} : \frac{x + 2}{x - 2}

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

Popular Examples

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Frequently Asked Questions (FAQ)

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