Datrys ar gyfer x
x = \frac{\log_{\frac{200}{179}} {(\frac{910}{71})}}{3} \approx 7.664679935
Datrys ar gyfer x (complex solution)
x=\frac{i\times 2\pi n_{1}}{3\ln(0.895)}+\frac{\log_{0.895}\left(\frac{71}{910}\right)}{3}
n_{1}\in \mathrm{Z}
Graff
Rhannu
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\frac{71}{910}=0.895^{3x}
Rhannu’r ddwy ochr â 910.
0.895^{3x}=\frac{71}{910}
Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.
\log(0.895^{3x})=\log(\frac{71}{910})
Cymryd logarithm dwy ochr yr hafaliad.
3x\log(0.895)=\log(\frac{71}{910})
Logarithm rhif wedi’i godi i bŵer yw’r pŵer wedi’i lluosi â logarithm y rhif.
3x=\frac{\log(\frac{71}{910})}{\log(0.895)}
Rhannu’r ddwy ochr â \log(0.895).
3x=\log_{0.895}\left(\frac{71}{910}\right)
Gyda’r fformiwla newid-sail \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\ln(\frac{71}{910})}{3\ln(\frac{179}{200})}
Rhannu’r ddwy ochr â 3.
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