Datrys 400000=200000*1.04^x

$$400000=200000 \times { 1.04 }^{ x }$$

Datrys ar gyfer x

$$x=\log_{1.04}\left(2\right)\approx 17.672987685$$

Camau gan Ddefnyddio Diffiniad Logarithm

Rhannu’r ddwy ochr â 200000.

$$\frac{400000}{200000}=1.04^{x}$$

Rhannu 400000 â 200000 i gael 2.

$$2=1.04^{x}$$

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

$$1.04^{x}=2$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1.04^{x})=\log(2)$$

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

$$x\log(1.04)=\log(2)$$

Rhannu’r ddwy ochr â \log(1.04).

$$x=\frac{\log(2)}{\log(1.04)}$$

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

$$x=\log_{1.04}\left(2\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.04)}+\log_{1.04}\left(2\right)$$

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