Whakaoti mō x
x=-\log_{2}\left(6\right)\approx -2.584962501
Whakaoti mō x (complex solution)
x=-\frac{2\pi n_{1}i}{\ln(2)}-\log_{2}\left(6\right)
n_{1}\in \mathrm{Z}
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(\frac{1}{2}\right)^{x}=6
Whakamahia ngā ture taupū me ngā taupū kōaro hei whakaoti i te whārite.
\log(\left(\frac{1}{2}\right)^{x})=\log(6)
Tuhia te tau taupū kōaro o ngā taha e rua o te whārite.
x\log(\frac{1}{2})=\log(6)
Ko te taupū kōaro o tētahi tau ka hīkina ki tētahi pū ko te pū whakarea ki te taupū kōaro o taua tau.
x=\frac{\log(6)}{\log(\frac{1}{2})}
Whakawehea ngā taha e rua ki te \log(\frac{1}{2}).
x=\log_{\frac{1}{2}}\left(6\right)
Mā te tikanga tātai huri pūtake \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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