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Popular >

simplify ln((x^3)/(2-x))

Solution

simplify

ln (\frac{x ^{3}}{2 - x})

Solution

3 ln (x) - ln (2 - x)

Solution steps

ln (\frac{x ^{3}}{2 - x})

Apply log rule:

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

ln (\frac{x ^{3}}{2 - x}) = ln (x^{3}) - ln (2 - x)

= ln (x^{3}) - ln (- x + 2)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{3}) = 3 ln (x)

= 3 ln (x) - ln (2 - x)

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Frequently Asked Questions (FAQ)

What is ln((x^3)/(2-x)) ?
The solution to ln((x^3)/(2-x)) is 3ln(x)-ln(2-x)