Datrys 6^x/36=1

$$\frac { 6 ^ { x } } { 36 } = 1$$

Datrys ar gyfer x

$$x=2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$\frac{1}{36}\times 6^{x}=1$$

Lluosi’r ddwy ochr â 36.

$$6^{x}=36$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(6^{x})=\log(36)$$

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

$$x\log(6)=\log(36)$$

Rhannu’r ddwy ochr â \log(6).

$$x=\frac{\log(36)}{\log(6)}$$

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

$$x=\log_{6}\left(36\right)$$

Datrys ar gyfer x (complex solution)

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

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