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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

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

Apply log rule:

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

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

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

Simplify

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

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

Popular Examples

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

simplify log_{10}(5/100)simplify

lo g_{10} (\frac{5}{100})

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ln (8) - \frac{1}{2} ln (k) - 3 ln (t) - \frac{1}{3} ln (m)

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- lo g_{10} (2.3 \cdot 1 0^{- 3})

Frequently Asked Questions (FAQ)

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