What is (x^3+4)^2+ln((2x)^x) ?

The solution to (x^3+4)^2+ln((2x)^x) is (x^3+4)^2+xln(2x)

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simplify (x^3+4)^2+ln((2x)^x)

simplify

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

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

Solution steps

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

Apply log rule

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

assuming

x \geq 0

= (x^{3} + 4)^{2} + x ln (2 x)

s^{2} + 2 s - 3

(x + 1) (2 x + 3)

(- \frac{1}{2})^{0}

(4 x - 3)^{3}

What is (x^3+4)^2+ln((2x)^x) ?
The solution to (x^3+4)^2+ln((2x)^x) is (x^3+4)^2+xln(2x)