Datrys 3800=1.23^x

$$3800 = 1.23 ^ { x }$$

Datrys ar gyfer x

$$x=\log_{1.23}\left(3800\right)\approx 39.817353422$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$1.23^{x}=3800$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1.23^{x})=\log(3800)$$

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

$$x\log(1.23)=\log(3800)$$

Rhannu’r ddwy ochr â \log(1.23).

$$x=\frac{\log(3800)}{\log(1.23)}$$

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

$$x=\log_{1.23}\left(3800\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.23)}+\log_{1.23}\left(3800\right)$$

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