What is (xe^{3x})(e^{3x}ln(x)) ?

The solution to (xe^{3x})(e^{3x}ln(x)) is e^{6x}xln(x)

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simplify (xe^{3x})(e^{3x}ln(x))

simplify

(x e^{3 x}) (e^{3 x} ln (x))

e^{6 x} x ln (x)

Solution steps

(x e^{3 x}) (e^{3 x} ln (x))

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{3 x} e^{3 x} = e^{3 x + 3 x}

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

Add similar elements:

3 x + 3 x = 6 x

= x e^{6 x} ln (x)

- 2.53 \cdot e^{- 0.069}

5.3545300000000 \dots e^{- 5}

e^{- 1. 7^{2}}

((x^{3} + 3 x + 1) e^{- x}) e^{x}

4000 e^{- 0.0512 (6)}

What is (xe^{3x})(e^{3x}ln(x)) ?
The solution to (xe^{3x})(e^{3x}ln(x)) is e^{6x}xln(x)