展开 log_{(x(x+7))/((x+3)^4)}(x)

解答

展开

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)

求解步骤

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)

e x p an d 3 (4 x ln (x) + 2 x)

e x p an d B A + (B + A) (B +,)

e x p an d (10 - x) x

e x p an d \frac{d ( ( 2 x - 8 c ) ( 9 - x ^{2} ) ^{2} ) - 2}{d x}

e x p an d \frac{( p - 3 ) ( q + 5 )}{2}