Datrys 9(16)^2x=589824

$$9 ( 16 ) ^ { 2 x } = 589824$$

Datrys ar gyfer x

$$x=2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$9\times 16^{2x}=589824$$

Rhannu’r ddwy ochr â 9.

$$16^{2x}=65536$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(16^{2x})=\log(65536)$$

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

$$2x\log(16)=\log(65536)$$

Rhannu’r ddwy ochr â \log(16).

$$2x=\frac{\log(65536)}{\log(16)}$$

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

$$2x=\log_{16}\left(65536\right)$$

Rhannu’r ddwy ochr â 2.

$$x=\frac{4}{2}$$

Datrys ar gyfer x (complex solution)

$$x=\frac{\pi n_{1}i}{4\ln(2)}+2$$

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