Datrys 2^3x=855

$$2 ^ { 3 x } = 855$$

Datrys ar gyfer x

$$x = \frac{\log_{2} {(855)}}{3} \approx 3.246593537$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{3x}=855$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{3x})=\log(855)$$

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

$$3x\log(2)=\log(855)$$

Rhannu’r ddwy ochr â \log(2).

$$3x=\frac{\log(855)}{\log(2)}$$

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

$$3x=\log_{2}\left(855\right)$$

Rhannu’r ddwy ochr â 3.

$$x=\frac{\log_{2}\left(855\right)}{3}$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{3\ln(2)}+\frac{\log_{2}\left(855\right)}{3}$$

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