Resolva a seguinte equação exponencial : 
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Bom dia Julia!
Solução!
![3^{x}-3^{x-1}=6\\\\\\
3^{x}-3^{x}.3^{-1}=6\\\\\\\
3^{x}(1-1.3^{-1})=6\\\\\\\\\
3^{x}(1 - \frac{1}{3})=6\\\\\\\\
3^{x}( \frac{3-1}{3})=6\\\\\\\\
3^{x}( \frac{2}{3})=6\\\\\\\\
3^{x}=\dfrac{6}{ \dfrac{2}{3} }\\\\\\
3^{x}=6. \frac{3}{2}](https://tex.z-dn.net/?f=3%5E%7Bx%7D-3%5E%7Bx-1%7D%3D6%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D-3%5E%7Bx%7D.3%5E%7B-1%7D%3D6%5C%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%281-1.3%5E%7B-1%7D%29%3D6%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%281+-+%5Cfrac%7B1%7D%7B3%7D%29%3D6%5C%5C%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%28+%5Cfrac%7B3-1%7D%7B3%7D%29%3D6%5C%5C%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%28+%5Cfrac%7B2%7D%7B3%7D%29%3D6%5C%5C%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%3D%5Cdfrac%7B6%7D%7B+%5Cdfrac%7B2%7D%7B3%7D+%7D%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%3D6.+%5Cfrac%7B3%7D%7B2%7D++++%0A "3^{x}-3^{x-1}=6\\\\\\
3^{x}-3^{x}.3^{-1}=6\\\\\\\
3^{x}(1-1.3^{-1})=6\\\\\\\\\
3^{x}(1 - \frac{1}{3})=6\\\\\\\\
3^{x}( \frac{3-1}{3})=6\\\\\\\\
3^{x}( \frac{2}{3})=6\\\\\\\\
3^{x}=\dfrac{6}{ \dfrac{2}{3} }\\\\\\
3^{x}=6. \frac{3}{2}")
![3^{x}= \frac{18}{2}\\\\\\
3^{x}=9\\\\\\\
3^{x}=3^{2}\\\\\\
x=2\\\\\\\
\boxed{Resposta: S=\{2\}}](https://tex.z-dn.net/?f=3%5E%7Bx%7D%3D+%5Cfrac%7B18%7D%7B2%7D%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%3D9%5C%5C%5C%5C%5C%5C%5C%0A3%5E%7Bx%7D%3D3%5E%7B2%7D%5C%5C%5C%5C%5C%5C%0Ax%3D2%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3A+S%3D%5C%7B2%5C%7D%7D++++++ "3^{x}= \frac{18}{2}\\\\\\
3^{x}=9\\\\\\\
3^{x}=3^{2}\\\\\\
x=2\\\\\\\
\boxed{Resposta: S=\{2\}}")
Bom dia!
Bons estudos!
Solução!
Bom dia!
Bons estudos!
juliadamascena:
Muuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuito obrigada!!! De <3
Deus te pague !!
Dê nada! Bons estudos!
A você também =D
Obrigado!
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