Selesaikan untuk b
\left\{\begin{matrix}b=\left(e^{\ln(3)^{2}}\times 3^{\ln(y)}\right)^{\frac{1}{\ln(xy)+\ln(3)z}}\text{, }&\left(x>0\text{ and }y>0\text{ and }y\neq \frac{1}{x\times 3^{z}}\text{ and }y<\frac{1}{3}\text{ and }z\neq -\log_{3}\left(xy\right)\right)\text{ or }\left(y\neq \frac{1}{x\times 3^{z}}\text{ and }x>0\text{ and }y>\frac{1}{3}\text{ and }z\neq -\log_{3}\left(xy\right)\right)\text{ or }\left(x=3^{1-z}\text{ and }y>\frac{1}{3}\right)\text{ or }\left(y>0\text{ and }x=3^{1-z}\text{ and }y<\frac{1}{3}\right)\\b\in \left(0,1\right)\cup \left(1,\infty\right)\text{, }&y=\frac{1}{3}\text{ and }x=3^{1-z}\end{matrix}\right.
Selesaikan untuk x
x=\frac{e^{\frac{\ln(3)^{2}}{\ln(b)}}\times 3^{\log_{b}\left(y\right)-z}}{y}
y>0\text{ and }b\neq 1\text{ and }b>0
Kongsi
Disalin ke papan klip
Contoh
Persamaan kuadratik
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetik
699 * 533
Matriks
\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]
Persamaan serentak
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pembezaan
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}