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\left(\frac{1}{16}\right)^{2x}=64
Whakamahia ngā ture taupū me ngā taupū kōaro hei whakaoti i te whārite.
\log(\left(\frac{1}{16}\right)^{2x})=\log(64)
Tuhia te tau taupū kōaro o ngā taha e rua o te whārite.
2x\log(\frac{1}{16})=\log(64)
Ko te taupū kōaro o tētahi tau ka hīkina ki tētahi pū ko te pū whakarea ki te taupū kōaro o taua tau.
2x=\frac{\log(64)}{\log(\frac{1}{16})}
Whakawehea ngā taha e rua ki te \log(\frac{1}{16}).
2x=\log_{\frac{1}{16}}\left(64\right)
Mā te tikanga tātai huri pūtake \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=-\frac{\frac{3}{2}}{2}
Whakawehea ngā taha e rua ki te 2.