Datrys ar gyfer x
x=-\log_{0.945}\left(\frac{46400000000}{8081268993}\right)\approx 30.895168573
Datrys ar gyfer x (complex solution)
x=\frac{i\times 2\pi n_{1}}{\ln(0.945)}-\log_{0.945}\left(\frac{46400000000}{8081268993}\right)
n_{1}\in \mathrm{Z}
Graff
Rhannu
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8700\times 0.945^{x-4}-551=1349
Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.
8700\times 0.945^{x-4}=1900
Adio 551 at ddwy ochr yr hafaliad.
0.945^{x-4}=\frac{19}{87}
Rhannu’r ddwy ochr â 8700.
\log(0.945^{x-4})=\log(\frac{19}{87})
Cymryd logarithm dwy ochr yr hafaliad.
\left(x-4\right)\log(0.945)=\log(\frac{19}{87})
Logarithm rhif wedi’i godi i bŵer yw’r pŵer wedi’i lluosi â logarithm y rhif.
x-4=\frac{\log(\frac{19}{87})}{\log(0.945)}
Rhannu’r ddwy ochr â \log(0.945).
x-4=\log_{0.945}\left(\frac{19}{87}\right)
Gyda’r fformiwla newid-sail \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\ln(\frac{19}{87})}{\ln(\frac{189}{200})}-\left(-4\right)
Adio 4 at ddwy ochr yr hafaliad.
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