Datrys 108^x=2

$$108 ^ { x } = 2$$

Datrys ar gyfer x

$$x=\log_{108}\left(2\right)\approx 0.148040955$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$108^{x}=2$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(108^{x})=\log(2)$$

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

$$x\log(108)=\log(2)$$

Rhannu’r ddwy ochr â \log(108).

$$x=\frac{\log(2)}{\log(108)}$$

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

$$x=\log_{108}\left(2\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(108)}+\log_{108}\left(2\right)$$

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