Datrys 6^3r=36

$$6 ^ { 3 r } = 36$$

Datrys ar gyfer r

$$r=\frac{2}{3}\approx 0.666666667$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$6^{3r}=36$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(6^{3r})=\log(36)$$

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

$$3r\log(6)=\log(36)$$

Rhannu’r ddwy ochr â \log(6).

$$3r=\frac{\log(36)}{\log(6)}$$

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

$$3r=\log_{6}\left(36\right)$$

Rhannu’r ddwy ochr â 3.

$$r=\frac{2}{3}$$