Datrys 8^n=8

$$8 ^ { n } = 8$$

Datrys ar gyfer n

$$n=1$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$8^{n}=8$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(8^{n})=\log(8)$$

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

$$n\log(8)=\log(8)$$

Rhannu’r ddwy ochr â \log(8).

$$n=\frac{\log(8)}{\log(8)}$$

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

$$n=\log_{8}\left(8\right)$$

Datrys ar gyfer n (complex solution)

$$n=\frac{2\pi n_{1}i}{3\ln(2)}+1$$

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