Datrys 2e^x-1=11

$$2 e ^ { x } - 1 = 11$$

Datrys ar gyfer x

$$x=\ln(6)\approx 1.791759469$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2e^{x}-1=11$$

Adio 1 at ddwy ochr yr hafaliad.

$$2e^{x}=12$$

Rhannu’r ddwy ochr â 2.

$$e^{x}=6$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{x})=\log(6)$$

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

$$x\log(e)=\log(6)$$

Rhannu’r ddwy ochr â \log(e).

$$x=\frac{\log(6)}{\log(e)}$$

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

$$x=\log_{e}\left(6\right)$$

Datrys ar gyfer x (complex solution)

$$x=\ln(6)+2\pi n_{1}i$$

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