What is expand log_{(x(x+4))/((x+2)^4)}(x) ?

The solution to expand log_{(x(x+4))/((x+2)^4)}(x) is log_{(x^2+4x)/(x^4+8x^3+24x^2+32x+16)}(x)

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expand log_{(x(x+4))/((x+2)^4)}(x)

expand

lo g_{\frac{x ( x + 4 )}{( x + 2 ) ^{4}}} (x)

lo g_{\frac{x ^{2} + 4 x}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}} (x)

Solution steps

lo g_{\frac{x ( x + 4 )}{( x + 2 ) ^{4}}} (x)

\frac{x ( x + 4 )}{( x + 2 ) ^{4}} = \frac{x ^{2} + 4 x}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}

= lo g_{\frac{x ^{2} + 4 x}{x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16}} (x)

\frac{( x + 3 ) ( x + 6 ) ^{2} ( x + 1 )}{( x - 3 ) ( x + 4 )}

0.0759 \cdot 2. 1^{5} \cdot (1 - (0, 5)^{2})

\frac{5 x + 1}{( x + 2 ) ( x - 1 )}

(e^{20 x} + e^{- 20 x})^{2}

lo g_{10} (3) (x + 1) - 2

What is expand log_{(x(x+4))/((x+2)^4)}(x) ?
The solution to expand log_{(x(x+4))/((x+2)^4)}(x) is log_{(x^2+4x)/(x^4+8x^3+24x^2+32x+16)}(x)