Datrys 10e^x=11

$$10 e ^ { x } = 11$$

Datrys ar gyfer x

$$x=\ln(\frac{11}{10})\approx 0.09531018$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$10e^{x}=11$$

Rhannu’r ddwy ochr â 10.

$$e^{x}=\frac{11}{10}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{x})=\log(\frac{11}{10})$$

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

$$x\log(e)=\log(\frac{11}{10})$$

Rhannu’r ddwy ochr â \log(e).

$$x=\frac{\log(\frac{11}{10})}{\log(e)}$$

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

$$x=\log_{e}\left(\frac{11}{10}\right)$$

Datrys ar gyfer x (complex solution)

$$x=\ln(\frac{11}{10})+2\pi n_{1}i$$

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