Datrys 2^x+1/2=4

$$\frac { 2 ^ { x + 1 } } { 2 } = 4$$

Datrys ar gyfer x

$$x=2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$\frac{1}{2}\times 2^{x+1}=4$$

Lluosi’r ddwy ochr â 2.

$$2^{x+1}=8$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{x+1})=\log(8)$$

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

$$\left(x+1\right)\log(2)=\log(8)$$

Rhannu’r ddwy ochr â \log(2).

$$x+1=\frac{\log(8)}{\log(2)}$$

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

$$x+1=\log_{2}\left(8\right)$$

Tynnu 1 o ddwy ochr yr hafaliad.

$$x=3-1$$

Datrys ar gyfer x (complex solution)

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

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