Datrys 3^alpha-5*3+6=0

$$3 ^ { \alpha } - 5 \times 3 + 6 = 0$$

Datrys ar gyfer α

$$\alpha =2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Aildrefnu'r termau.

$$-5\times 3+3^{\alpha }+6=0$$

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$3^{\alpha }-9=0$$

Adio 9 at ddwy ochr yr hafaliad.

$$3^{\alpha }=9$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(3^{\alpha })=\log(9)$$

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

$$\alpha \log(3)=\log(9)$$

Rhannu’r ddwy ochr â \log(3).

$$\alpha =\frac{\log(9)}{\log(3)}$$

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

$$\alpha =\log_{3}\left(9\right)$$