Datrys 6^-3n-3=216

$$6 ^ { - 3 n - 3 } = 216$$

Datrys ar gyfer n

$$n=-2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$6^{-3n-3}=216$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(6^{-3n-3})=\log(216)$$

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

$$\left(-3n-3\right)\log(6)=\log(216)$$

Rhannu’r ddwy ochr â \log(6).

$$-3n-3=\frac{\log(216)}{\log(6)}$$

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

$$-3n-3=\log_{6}\left(216\right)$$

Adio 3 at ddwy ochr yr hafaliad.

$$-3n=3-\left(-3\right)$$

Rhannu’r ddwy ochr â -3.

$$n=\frac{6}{-3}$$