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Popular >

simplify ln(x+1)+2ln(x+2)

Solution

simplify

ln (x + 1) + 2 ln (x + 2)

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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