Equação exponencial 7^x+7^x-1=8
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![7^{x} +7^{x-1}=8\\\\\\\
7^{x} +7^{x}.7^{-1}=8\\\\\\\
7^{x} +7^{x}. \frac{1}{7} =8\\\\\\\\\
7^{x}.(1+1. \frac{1}{7})=8\\\\\\\\\\
7^{x}.(1+ \frac{1}{7})=8\\\\\\\\\\
7^{x}.(\frac{7+1}{7})=8\\\\\\\\\\
7^{x}.(\frac{8}{7})=8\\\\\\\\\\
7^{x}= \dfrac{8}{ \dfrac{8}{7} }\\\\\\\\
7^{x}=8. \dfrac{7}{8}\\\\\\
7^{x}=7^{1}\\\\\
x=1](https://tex.z-dn.net/?f=7%5E%7Bx%7D+%2B7%5E%7Bx-1%7D%3D8%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D+%2B7%5E%7Bx%7D.7%5E%7B-1%7D%3D8%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D+%2B7%5E%7Bx%7D.+%5Cfrac%7B1%7D%7B7%7D+%3D8%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D.%281%2B1.++%5Cfrac%7B1%7D%7B7%7D%29%3D8%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D.%281%2B+%5Cfrac%7B1%7D%7B7%7D%29%3D8%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D.%28%5Cfrac%7B7%2B1%7D%7B7%7D%29%3D8%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D.%28%5Cfrac%7B8%7D%7B7%7D%29%3D8%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D%3D+%5Cdfrac%7B8%7D%7B++%5Cdfrac%7B8%7D%7B7%7D+%7D%5C%5C%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D%3D8.+%5Cdfrac%7B7%7D%7B8%7D%5C%5C%5C%5C%5C%5C%0A7%5E%7Bx%7D%3D7%5E%7B1%7D%5C%5C%5C%5C%5C+%0Ax%3D1++++ "7^{x} +7^{x-1}=8\\\\\\\
7^{x} +7^{x}.7^{-1}=8\\\\\\\
7^{x} +7^{x}. \frac{1}{7} =8\\\\\\\\\
7^{x}.(1+1. \frac{1}{7})=8\\\\\\\\\\
7^{x}.(1+ \frac{1}{7})=8\\\\\\\\\\
7^{x}.(\frac{7+1}{7})=8\\\\\\\\\\
7^{x}.(\frac{8}{7})=8\\\\\\\\\\
7^{x}= \dfrac{8}{ \dfrac{8}{7} }\\\\\\\\
7^{x}=8. \dfrac{7}{8}\\\\\\
7^{x}=7^{1}\\\\\
x=1")
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