Datrys 0.008=0.2^x

$$0.008= { 0.2 }^{ x }$$

Datrys ar gyfer x

$$x=3$$

Camau gan Ddefnyddio Diffiniad Logarithm

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$0.2^{x}=0.008$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(0.2^{x})=\log(0.008)$$

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

$$x\log(0.2)=\log(0.008)$$

Rhannu’r ddwy ochr â \log(0.2).

$$x=\frac{\log(0.008)}{\log(0.2)}$$

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

$$x=\log_{0.2}\left(0.008\right)$$

Datrys ar gyfer x (complex solution)

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

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