What is join (2cos(2ln(x)))/(x^2)+x^3 ?

The solution to join (2cos(2ln(x)))/(x^2)+x^3 is (2cos(ln(x^2)))/(x^2)+x^3

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join (2cos(2ln(x)))/(x^2)+x^3

join

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

2 ln (a) - \frac{1}{2} ln (b)

5.8 + lo g_{10} (\frac{0.015}{0.4})

ln ∣ x ∣ + ln ∣ sin (x) ∣

lo g_{10} (6.5 x 1 0^{7}) - lo g_{10} (1000)

\frac{1}{2} ln (\frac{e + e ^{2} - 1}{e - e ^{2} - 1})

What is join (2cos(2ln(x)))/(x^2)+x^3 ?
The solution to join (2cos(2ln(x)))/(x^2)+x^3 is (2cos(ln(x^2)))/(x^2)+x^3