Datrys 2700=1800e^19h

$$2700 = 1800 e ^ { 19 h }$$

Datrys ar gyfer h

$$h=\frac{\ln(\frac{3}{2})}{19}\approx 0.021340269$$

Camau gan Ddefnyddio Diffiniad Logarithm

Rhannu’r ddwy ochr â 1800.

$$\frac{2700}{1800}=e^{19h}$$

Lleihau'r ffracsiwn \frac{2700}{1800} i'r graddau lleiaf posib drwy dynnu a chanslo allan 900.

$$\frac{3}{2}=e^{19h}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$e^{19h}=\frac{3}{2}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{19h})=\log(\frac{3}{2})$$

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

$$19h\log(e)=\log(\frac{3}{2})$$

Rhannu’r ddwy ochr â \log(e).

$$19h=\frac{\log(\frac{3}{2})}{\log(e)}$$

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

$$19h=\log_{e}\left(\frac{3}{2}\right)$$

Rhannu’r ddwy ochr â 19.

$$h=\frac{\ln(\frac{3}{2})}{19}$$

Datrys ar gyfer h (complex solution)

$$h=\frac{2\pi n_{1}i}{19}+\frac{\ln(\frac{3}{2})}{19}$$

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