Datrys 2^c=6

$$2 ^ { c } = 6$$

Datrys ar gyfer c

$$c=\log_{2}\left(6\right)\approx 2.584962501$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{c}=6$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{c})=\log(6)$$

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

$$c\log(2)=\log(6)$$

Rhannu’r ddwy ochr â \log(2).

$$c=\frac{\log(6)}{\log(2)}$$

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

$$c=\log_{2}\left(6\right)$$

Datrys ar gyfer c (complex solution)

$$c=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(6\right)$$

$$n_{1}\in \mathrm{Z}$$