What is ln((3x)^{2x})+(9x^2+2)^3 ?

The solution to ln((3x)^{2x})+(9x^2+2)^3 is 2xln(3x)+(9x^2+2)^3

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simplify ln((3x)^{2x})+(9x^2+2)^3

simplify

ln ((3 x)^{2 x}) + (9 x^{2} + 2)^{3}

2 x ln (3 x) + (9 x^{2} + 2)^{3}

Solution steps

ln ((3 x)^{2 x}) + (9 x^{2} + 2)^{3}

(3 x)^{2 x} = 3^{2 x} x^{2 x}

= ln (3^{2 x} x^{2 x}) + (9 x^{2} + 2)^{3}

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

= 2 x ln (3 x) + (9 x^{2} + 2)^{3}

- - 99

\frac{( x ^{4} - y ^{4} )}{( x - y )}

\frac{x}{a ^{2} - a x} + \frac{1}{a} + \frac{1}{x}

∣ 15 ∣

\frac{4}{6 - 2}

What is ln((3x)^{2x})+(9x^2+2)^3 ?
The solution to ln((3x)^{2x})+(9x^2+2)^3 is 2xln(3x)+(9x^2+2)^3