Datrys 2^x+5=8

$$2 ^ { x + 5 } = 8$$

Datrys ar gyfer x

$$x=-2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{x+5}=8$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{x+5})=\log(8)$$

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

$$\left(x+5\right)\log(2)=\log(8)$$

Rhannu’r ddwy ochr â \log(2).

$$x+5=\frac{\log(8)}{\log(2)}$$

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

$$x+5=\log_{2}\left(8\right)$$

Tynnu 5 o ddwy ochr yr hafaliad.

$$x=3-5$$

Datrys ar gyfer x (complex solution)

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

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