Datrys 3^2x=81

$$3 ^ { 2 x } = 81$$

Datrys ar gyfer x

$$x=2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$3^{2x}=81$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(3^{2x})=\log(81)$$

Logarithm rhif wedi’i godi i bŵer yw’r pŵer wedi’i lluosi â logarithm y rhif.

$$2x\log(3)=\log(81)$$

Rhannu’r ddwy ochr â \log(3).

$$2x=\frac{\log(81)}{\log(3)}$$

Gyda’r fformiwla newid-sail \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$2x=\log_{3}\left(81\right)$$

Rhannu’r ddwy ochr â 2.

$$x=\frac{4}{2}$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\pi n_{1}}{\ln(3)}+2$$

$$n_{1}\in \mathrm{Z}$$