Datrys 1.418519125=1.06^x

$$1.418519125= { 1.06 }^{ x }$$

Datrys ar gyfer x

$$x=\log_{1.06}\left(1.418519125\right)\approx 6.000000154$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$1.06^{x}=1.418519125$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1.06^{x})=\log(1.418519125)$$

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

$$x\log(1.06)=\log(1.418519125)$$

Rhannu’r ddwy ochr â \log(1.06).

$$x=\frac{\log(1.418519125)}{\log(1.06)}$$

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

$$x=\log_{1.06}\left(1.418519125\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.06)}+\log_{1.06}\left(1.418519125\right)$$

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