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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{x ^{3}}{x ^{2} + x} : \frac{x ^{2}}{x + 1}

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

Popular Examples

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\frac{13}{8} \cdot ln (\frac{13}{8}) - \frac{1}{\frac{13}{8}}

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- 27 + 5 - 5 lo g_{10} (4.84 x 1 0^{- 6})

Frequently Asked Questions (FAQ)

What is ln(x^3)-ln(x^2+x) ?
The solution to ln(x^3)-ln(x^2+x) is ln((x^2)/(x+1))