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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

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

= ln (x x + 2)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Simplify

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

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

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\frac{1}{- \frac{23}{6} + 8}

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\frac{5 ^{2}}{5 ^{4}}

Frequently Asked Questions (FAQ)

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