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Popular >

simplify ln^2(3e)-3ln(3)-3

Solution

simplify

ln^{2} (3 e) - 3 ln (3) - 3

Solution

ln^{2} (\frac{e}{9}) - 3

+1

Decimal Notation

- 1.56665 \dots

Solution steps

ln^{2} (3 e) - 3 ln (3) - 3

Apply log rule:

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

3 ln (3) = ln (3^{3})

= ln^{2} (3 e) - ln (3^{3}) - 3

Apply log rule:

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

ln^{2} (3 e) - ln (3^{3}) = ln^{2} (\frac{3 e}{3 ^{3}})

= ln^{2} (\frac{3 e}{3 ^{3}}) - 3

\frac{3 e}{3 ^{3}} = \frac{e}{9}

= ln^{2} (\frac{e}{9}) - 3

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Frequently Asked Questions (FAQ)

What is ln^2(3e)-3ln(3)-3 ?
The solution to ln^2(3e)-3ln(3)-3 is ln^2(e/9)-3