Datrys 4845=1.23^x

$$4845 = { 1.23 }^{ x }$$

Datrys ar gyfer x

$$x=\log_{1.23}\left(4845\right)\approx 40.990926126$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$1.23^{x}=4845$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1.23^{x})=\log(4845)$$

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

$$x\log(1.23)=\log(4845)$$

Rhannu’r ddwy ochr â \log(1.23).

$$x=\frac{\log(4845)}{\log(1.23)}$$

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

$$x=\log_{1.23}\left(4845\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.23)}+\log_{1.23}\left(4845\right)$$

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