Datrys 6^x=3

$$6 ^ { x } = 3$$

Datrys ar gyfer x

$$x=\log_{6}\left(3\right)\approx 0.613147193$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$6^{x}=3$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(6^{x})=\log(3)$$

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

$$x\log(6)=\log(3)$$

Rhannu’r ddwy ochr â \log(6).

$$x=\frac{\log(3)}{\log(6)}$$

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

$$x=\log_{6}\left(3\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(6)}+\log_{6}\left(3\right)$$

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