What is sqrt(x)^{3x}(3/2+3/2 ln(x)) ?

The solution to sqrt(x)^{3x}(3/2+3/2 ln(x)) is x^{(3x)/2}(3/2 ln(x)+3/2)

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simplify sqrt(x)^{3x}(3/2+3/2 ln(x))

simplify

x^{3 x} (\frac{3}{2} + \frac{3}{2} ln (x))

x^{\frac{3 x}{2}} (\frac{3}{2} ln (x) + \frac{3}{2})

Solution steps

(x)^{3 x} (\frac{3}{2} + \frac{3}{2} ln (x))

(x)^{3 x} : x^{\frac{3 x}{2}}

= x^{\frac{3 x}{2}} (\frac{3}{2} + \frac{3}{2} ln (x))

(4.2 \cdot 1 0^{6}) (2 \cdot 1 0^{- 4})

(1.5 \cdot 1 0^{2}) (5 \cdot 1 0^{10})

- 2 e^{- x} e^{- x}

- 10 a^{2} (3 a)

\frac{x - 3}{x + 2}

What is sqrt(x)^{3x}(3/2+3/2 ln(x)) ?
The solution to sqrt(x)^{3x}(3/2+3/2 ln(x)) is x^{(3x)/2}(3/2 ln(x)+3/2)