simplify 3ln(2e^1)

Solution

simplify

3 ln (2 e^{1})

3 ln (2) + 3

Decimal Notation

5.07944 \dots

Solution steps

3 ln (2 e^{1})

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{1}) = 1 \cdot ln (e)

= 3 ln (2) + 3 \cdot 1 \cdot ln (e)

3 \cdot 1 \cdot ln (e) = 3

= 3 ln (2) + 3

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