Datrys 8000000=100e^.01t

$$8000000 = 100 e ^ { .01 t }$$

Datrys ar gyfer t

$$t=100\ln(80000)\approx 1128.978191366$$

Camau gan Ddefnyddio Diffiniad Logarithm

Rhannu’r ddwy ochr â 100.

$$\frac{8000000}{100}=e^{0.01t}$$

Rhannu 8000000 â 100 i gael 80000.

$$80000=e^{0.01t}$$

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

$$e^{0.01t}=80000$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(e^{0.01t})=\log(80000)$$

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

$$0.01t\log(e)=\log(80000)$$

Rhannu’r ddwy ochr â \log(e).

$$0.01t=\frac{\log(80000)}{\log(e)}$$

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

$$0.01t=\log_{e}\left(80000\right)$$

Lluosi’r ddwy ochr â 100.

$$t=\frac{\ln(80000)}{0.01}$$