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Popular >

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

Solution

simplify

ln ∣ x ∣ - 2 ln (x + 3)

Solution

ln (\frac{∣ x ∣}{( x + 3 ) ^{2}})

Solution steps

ln ∣ x ∣ - 2 ln (x + 3)

Apply log rule:

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

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

= ln ∣ x ∣ - ln ((x + 3)^{2})

Apply log rule:

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

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

= ln (\frac{∣ x ∣}{( x + 3 ) ^{2}})

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Frequently Asked Questions (FAQ)

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