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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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