Datrys 6*e^y=200

$$6 \cdot e ^ { y } = 200$$

Datrys ar gyfer y

$$y=-\ln(\frac{3}{100})\approx 3.506557897$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$6e^{y}=200$$

Rhannu’r ddwy ochr â 6.

$$e^{y}=\frac{100}{3}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{y})=\log(\frac{100}{3})$$

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

$$y\log(e)=\log(\frac{100}{3})$$

Rhannu’r ddwy ochr â \log(e).

$$y=\frac{\log(\frac{100}{3})}{\log(e)}$$

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

$$y=\log_{e}\left(\frac{100}{3}\right)$$

Datrys ar gyfer y (complex solution)

$$y=-\ln(\frac{3}{100})+2\pi n_{1}i$$

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