Datrys 6^3m+2=1

$$6 ^ { 3 m + 2 } = 1$$

Datrys ar gyfer m

$$m=-\frac{2}{3}\approx -0.666666667$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$6^{3m+2}=1$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(6^{3m+2})=\log(1)$$

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

$$\left(3m+2\right)\log(6)=\log(1)$$

Rhannu’r ddwy ochr â \log(6).

$$3m+2=\frac{\log(1)}{\log(6)}$$

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

$$3m+2=\log_{6}\left(1\right)$$

Tynnu 2 o ddwy ochr yr hafaliad.

$$3m=-2$$

Rhannu’r ddwy ochr â 3.

$$m=-\frac{2}{3}$$