Datrys 132^x=8

$${ 132 }^{ x } =8$$

Datrys ar gyfer x

$$x=3\log_{132}\left(2\right)\approx 0.42587055$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$132^{x}=8$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(132^{x})=\log(8)$$

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

$$x\log(132)=\log(8)$$

Rhannu’r ddwy ochr â \log(132).

$$x=\frac{\log(8)}{\log(132)}$$

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

$$x=\log_{132}\left(8\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(132)}+3\log_{132}\left(2\right)$$

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