Datrys e^x+3=12

$$e ^ { x + 3 } = 12$$

Datrys ar gyfer x

$$x=\ln(12)-3\approx -0.51509335$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$e^{x+3}=12$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{x+3})=\log(12)$$

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

$$\left(x+3\right)\log(e)=\log(12)$$

Rhannu’r ddwy ochr â \log(e).

$$x+3=\frac{\log(12)}{\log(e)}$$

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

$$x+3=\log_{e}\left(12\right)$$

Tynnu 3 o ddwy ochr yr hafaliad.

$$x=\ln(12)-3$$

Datrys ar gyfer x (complex solution)

$$x=\ln(12)-3+2\pi n_{1}i$$

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