Datrys ar gyfer x
x=4\log_{2}\left(7\right)\approx 11.229419688
Datrys ar gyfer x (complex solution)
x=\frac{8\pi n_{1}i}{\ln(2)}+4\log_{2}\left(7\right)
n_{1}\in \mathrm{Z}
Graff
Rhannu
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4\times 2^{\frac{1}{4}x}=28
Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.
2^{\frac{1}{4}x}=7
Rhannu’r ddwy ochr â 4.
\log(2^{\frac{1}{4}x})=\log(7)
Cymryd logarithm dwy ochr yr hafaliad.
\frac{1}{4}x\log(2)=\log(7)
Logarithm rhif wedi’i godi i bŵer yw’r pŵer wedi’i lluosi â logarithm y rhif.
\frac{1}{4}x=\frac{\log(7)}{\log(2)}
Rhannu’r ddwy ochr â \log(2).
\frac{1}{4}x=\log_{2}\left(7\right)
Gyda’r fformiwla newid-sail \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\log_{2}\left(7\right)}{\frac{1}{4}}
Lluosi’r ddwy ochr â 4.
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