Datrys 9^x=729

$${ 9 }^{ x } =729$$

Datrys ar gyfer x

$$x=3$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$9^{x}=729$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(9^{x})=\log(729)$$

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

$$x\log(9)=\log(729)$$

Rhannu’r ddwy ochr â \log(9).

$$x=\frac{\log(729)}{\log(9)}$$

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

$$x=\log_{9}\left(729\right)$$

Datrys ar gyfer x (complex solution)

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

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