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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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 + 2)

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Frequently Asked Questions (FAQ)

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