What is 3(ln(3e))^2+2ln(3e) ?

The solution to 3(ln(3e))^2+2ln(3e) is 3ln^2(3e)+2ln(3)+2

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

simplify

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

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

Decimal Notation

17.40974 \dots

Solution steps

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

Apply log rule:

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

2 ln (3 e) = 2 ln (3) + 2 ln (e)

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

2 ln (e) = 2

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

- lo g_{10} (1.5 \cdot 1 0^{- 9})

ln (4 (x^{2} - 4 x + 6)^{3})

3 ln (x + 5) - 8 ln (x)

ln (\frac{( 4 x + 1 ) ^{2}}{8})

ln (\frac{x}{41})

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