Datrys 0.2^x=125

$${ 0.2 }^{ x } =125$$

Datrys ar gyfer x

$$x=-3$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$0.2^{x}=125$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(0.2^{x})=\log(125)$$

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

$$x\log(0.2)=\log(125)$$

Rhannu’r ddwy ochr â \log(0.2).

$$x=\frac{\log(125)}{\log(0.2)}$$

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

$$x=\log_{0.2}\left(125\right)$$

Datrys ar gyfer x (complex solution)

$$x=-\frac{i\times 2\pi n_{1}}{\ln(5)}-3$$

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