Datrys 1066.667=1.097^x

$$1066.667 = 1.097 ^ { x }$$

Datrys ar gyfer x

$$x=\log_{1.097}\left(1066.667\right)\approx 75.311684714$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$1.097^{x}=1066.667$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1.097^{x})=\log(1066.667)$$

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

$$x\log(1.097)=\log(1066.667)$$

Rhannu’r ddwy ochr â \log(1.097).

$$x=\frac{\log(1066.667)}{\log(1.097)}$$

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

$$x=\log_{1.097}\left(1066.667\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.097)}+\log_{1.097}\left(1066.667\right)$$

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