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Popular >

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

Solution

simplify

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

Solution

ln^{2} (x^{3}) + 1

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

x x^{2} : x^{3}

= ln^{2} (x^{3}) + 1

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Frequently Asked Questions (FAQ)

What is ln^2(x)+2ln(x)+1 ?
The solution to ln^2(x)+2ln(x)+1 is ln^2(x^3)+1