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3^{-2x+8}=81
Whakamahia ngā ture taupū me ngā taupū kōaro hei whakaoti i te whārite.
\log(3^{-2x+8})=\log(81)
Tuhia te tau taupū kōaro o ngā taha e rua o te whārite.
\left(-2x+8\right)\log(3)=\log(81)
Ko te taupū kōaro o tētahi tau ka hīkina ki tētahi pū ko te pū whakarea ki te taupū kōaro o taua tau.
-2x+8=\frac{\log(81)}{\log(3)}
Whakawehea ngā taha e rua ki te \log(3).
-2x+8=\log_{3}\left(81\right)
Mā te tikanga tātai huri pūtake \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
-2x=4-8
Me tango 8 mai i ngā taha e rua o te whārite.
x=-\frac{4}{-2}
Whakawehea ngā taha e rua ki te -2.