Tīpoka ki ngā ihirangi matua
Whakaoti mō x
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Whakaoti mō x (complex solution)
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625=5^{x}
Tātaihia te 5 mā te pū o 286, kia riro ko 80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625.
5^{x}=80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
\log(5^{x})=\log(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625)
Tuhia te tau taupū kōaro o ngā taha e rua o te whārite.
x\log(5)=\log(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625)
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(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625)}{\log(5)}
Whakawehea ngā taha e rua ki te \log(5).
x=\log_{5}\left(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625\right)
Mā te tikanga tātai huri pūtake \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).