Datrys 2^r=1/14

$$2 ^ { r } = \frac { 1 } { 14 }$$

Datrys ar gyfer r

$$r=-\log_{2}\left(14\right)\approx -3.807354922$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{r}=\frac{1}{14}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{r})=\log(\frac{1}{14})$$

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

$$r\log(2)=\log(\frac{1}{14})$$

Rhannu’r ddwy ochr â \log(2).

$$r=\frac{\log(\frac{1}{14})}{\log(2)}$$

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

$$r=\log_{2}\left(\frac{1}{14}\right)$$