What is expand log_{(x(x+7))/((x+3)^4)}(x) ?

The solution to expand log_{(x(x+7))/((x+3)^4)}(x) is log_{(x^2+7x)/(x^4+12x^3+54x^2+108x+81)}(x)

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expand log_{(x(x+7))/((x+3)^4)}(x)

expand

lo g_{\frac{x ( x + 7 )}{( x + 3 ) ^{4}}} (x)

lo g_{\frac{x ^{2} + 7 x}{x ^{4} + 12 x ^{3} + 54 x ^{2} + 108 x + 81}} (x)

Solution steps

lo g_{\frac{x ( x + 7 )}{( x + 3 ) ^{4}}} (x)

\frac{x ( x + 7 )}{( x + 3 ) ^{4}} = \frac{x ^{2} + 7 x}{x ^{4} + 12 x ^{3} + 54 x ^{2} + 108 x + 81}

= lo g_{\frac{x ^{2} + 7 x}{x ^{4} + 12 x ^{3} + 54 x ^{2} + 108 x + 81}} (x)

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What is expand log_{(x(x+7))/((x+3)^4)}(x) ?
The solution to expand log_{(x(x+7))/((x+3)^4)}(x) is log_{(x^2+7x)/(x^4+12x^3+54x^2+108x+81)}(x)