Jaguarfire
Jaguarfire Jaguarfire
  • 13-02-2015
  • Mathematics
contestada

How do you solve
216^x-1=6

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Аноним Аноним
  • 13-02-2015
[tex]216^{x-1}=6\\ ln(216^{x-1})=ln(6)\\ (x-1)ln(216)=ln(6)\\ xln(216)-ln(216)=ln(6)\\ xln(216)=ln(6)+ln(216)\\ x= \frac{ln(6)+ln(216)}{ln(216)} \approx 1,333[/tex]
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naǫ
naǫ naǫ
  • 13-02-2015
[tex]216^{x-1}=6 \\ (6^3)^{x-1}=6 \\ 6^{3(x-1)}=6 \\ 6^{3x-3}=6^1 \\ 3x-3=1 \\ 3x=4 \\ x=\frac{4}{3}[/tex]
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