Datrys 2^4x=256

$$2 ^ { 4 x } = 256$$

Datrys ar gyfer x

$$x=2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{4x}=256$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{4x})=\log(256)$$

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

$$4x\log(2)=\log(256)$$

Rhannu’r ddwy ochr â \log(2).

$$4x=\frac{\log(256)}{\log(2)}$$

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

$$4x=\log_{2}\left(256\right)$$

Rhannu’r ddwy ochr â 4.

$$x=\frac{8}{4}$$

Datrys ar gyfer x (complex solution)

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

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