Datrys r^n=3ft

$$r ^ { n } = 3 ft$$

Datrys ar gyfer f (complex solution)

$$\left\{\begin{matrix}f=\frac{r^{n}}{3t}\text{, }&t\neq 0\\f\in \mathrm{C}\text{, }&r=0\text{ and }n\neq 0\text{ and }t=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$3ft=r^{n}$$

Mae'r hafaliad yn y ffurf safonol.

$$3tf=r^{n}$$

Rhannu’r ddwy ochr â 3t.

$$\frac{3tf}{3t}=\frac{r^{n}}{3t}$$

Mae rhannu â 3t yn dad-wneud lluosi â 3t.

$$f=\frac{r^{n}}{3t}$$

Datrys ar gyfer f

$$\left\{\begin{matrix}f=\frac{r^{n}}{3t}\text{, }&\left(t\neq 0\text{ and }r>0\right)\text{ or }\left(t\neq 0\text{ and }r=0\text{ and }n>0\right)\text{ or }\left(t\neq 0\text{ and }r<0\text{ and }Denominator(n)\text{bmod}2=1\right)\\f\in \mathrm{R}\text{, }&r=0\text{ and }n>0\text{ and }t=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$3ft=r^{n}$$

Mae'r hafaliad yn y ffurf safonol.

$$3tf=r^{n}$$

Rhannu’r ddwy ochr â 3t.

$$\frac{3tf}{3t}=\frac{r^{n}}{3t}$$

Mae rhannu â 3t yn dad-wneud lluosi â 3t.

$$f=\frac{r^{n}}{3t}$$

Datrys ar gyfer n (complex solution)

$$\left\{\begin{matrix}n=\frac{\ln(ft)+\ln(3)}{\ln(r)}+\frac{2\pi n_{1}i}{\ln(r)}\text{, }n_{1}\in \mathrm{Z}\text{, }&t\neq 0\text{ and }f\neq 0\text{ and }r\neq 1\text{ and }r\neq 0\\n\in \mathrm{C}\text{, }&\left(r=0\text{ and }f=0\right)\text{ or }\left(r=0\text{ and }t=0\right)\text{ or }\left(r=1\text{ and }f=\frac{1}{3t}\text{ and }t\neq 0\right)\end{matrix}\right.$$

Datrys ar gyfer n

$$\left\{\begin{matrix}n=\frac{\ln(ft)+\ln(3)}{\ln(r)}\text{, }&\left(f<0\text{ and }t<0\text{ and }r\neq 1\text{ and }r>0\right)\text{ or }\left(f>0\text{ and }t>0\text{ and }r\neq 1\text{ and }r>0\right)\\n\in \mathrm{R}\text{, }&\left(r=1\text{ and }f=\frac{1}{3t}\text{ and }t\neq 0\right)\text{ or }\left(r=-1\text{ and }f=-\frac{1}{3t}\text{ and }t\neq 0\text{ and }Denominator(n)\text{bmod}2=1\text{ and }Numerator(n)\text{bmod}2=1\right)\\n>0\text{, }&\left(r=0\text{ and }f=0\right)\text{ or }\left(r=0\text{ and }t=0\right)\end{matrix}\right.$$