Datrys 2^2x=4

$$2 ^ { 2 x } = 4$$

Datrys ar gyfer x

$$x=1$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{2x}=4$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{2x})=\log(4)$$

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

$$2x\log(2)=\log(4)$$

Rhannu’r ddwy ochr â \log(2).

$$2x=\frac{\log(4)}{\log(2)}$$

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

$$2x=\log_{2}\left(4\right)$$

Rhannu’r ddwy ochr â 2.

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

Datrys ar gyfer x (complex solution)

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

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