Datrys e^x=4

$${ e }^{ x } =4$$

Datrys ar gyfer x

$$x=2\ln(2)\approx 1.386294361$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$e^{x}=4$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{x})=\log(4)$$

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

$$x\log(e)=\log(4)$$

Rhannu’r ddwy ochr â \log(e).

$$x=\frac{\log(4)}{\log(e)}$$

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

$$x=\log_{e}\left(4\right)$$

Datrys ar gyfer x (complex solution)

$$x=2\ln(2)+2\pi n_{1}i$$

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