m کے لئے حل کریں (complex solution)
\left\{\begin{matrix}m=\log_{y}\left(\frac{x^{2}\ln(x)+2y+3x}{x^{3}}\right)+\frac{2\pi n_{1}i}{\ln(y)}\text{, }n_{1}\in \mathrm{Z}\text{, }&y\neq -\frac{x\left(x\ln(x)+3\right)}{2}\text{ and }y\neq 1\text{ and }y\neq 0\text{ and }x\neq 0\\m\in \mathrm{C}\text{, }&\left(y=0\text{ and }x\left(x\ln(x)+3\right)=0\text{ and }x\neq 0\right)\text{ or }\left(y=1\text{ and }x\left(x\ln(x)-x^{2}+3\right)=-2\text{ and }x\neq 0\right)\end{matrix}\right.
m کے لئے حل کریں
\left\{\begin{matrix}m=\log_{y}\left(\frac{x^{2}\ln(x)+2y+3x}{x^{3}}\right)\text{, }&y\neq 1\text{ and }y>0\text{ and }y>-\frac{x\left(x\ln(x)+3\right)}{2}\text{ and }x>0\\m\in \mathrm{R}\text{, }&\left(y=-1\text{ and }x\left(x\ln(x)+x^{2}+3\right)=2\text{ and }x>0\text{ and }Denominator(m)\text{bmod}2=1\text{ and }Numerator(m)\text{bmod}2=1\right)\text{ or }\left(y=1\text{ and }x\left(x\ln(x)-x^{2}+3\right)=-2\text{ and }x>0\right)\\m>0\text{, }&y=0\text{ and }x\left(x\ln(x)+3\right)=0\text{ and }x>0\end{matrix}\right.
حصہ
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مثالیں
دوطرفہ مساوات
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
لکیری مساوات
y = 3x + 4
حساب
699 * 533
میٹرکس
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
بیک وقت مساوات
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
تمايُز
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
انضمام
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
حدود
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}