Datrys 5^x+2=125

$$5 ^ { x + 2 } = 125$$

Datrys ar gyfer x

$$x=1$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$5^{x+2}=125$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(5^{x+2})=\log(125)$$

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

$$\left(x+2\right)\log(5)=\log(125)$$

Rhannu’r ddwy ochr â \log(5).

$$x+2=\frac{\log(125)}{\log(5)}$$

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

$$x+2=\log_{5}\left(125\right)$$

Tynnu 2 o ddwy ochr yr hafaliad.

$$x=3-2$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(5)}+1$$

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