Datrys e^-2k=11/15

$$e ^ { - 2 k } = \frac { 11 } { 15 }$$

Datrys ar gyfer k

$$k=\frac{\ln(\frac{15}{11})}{2}\approx 0.155077464$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$e^{-2k}=\frac{11}{15}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{-2k})=\log(\frac{11}{15})$$

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

$$-2k\log(e)=\log(\frac{11}{15})$$

Rhannu’r ddwy ochr â \log(e).

$$-2k=\frac{\log(\frac{11}{15})}{\log(e)}$$

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

$$-2k=\log_{e}\left(\frac{11}{15}\right)$$

Rhannu’r ddwy ochr â -2.

$$k=\frac{\ln(\frac{11}{15})}{-2}$$