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Bom dia Almeidinha!
Solução!
![-5^{x-1} -5^{x} +5^{x+2}=119\\\\\\
-5^{x}.5^{-1} -5^{x}+5^{x}.5^{2}=119\\\\\\
5^{x}.(-1.5^{-1} -1+1.5^{2})=119\\\\\\
5^{x}.(-1. \frac{1}{5} -1+5^{2})=119\\\\\\
5^{x}.( \frac{-1}{5} -1+25)=119\\\\\\
5^{x}.( \frac{-1-5+125}{5} )=119\\\\\\
5^{x}.( \frac{119}{5} )=119\\\\\\
5^{x}.(119 )=595\\\\\\
5^{x}= \frac{595}{119}\\\\\\
5^{x}= 5\\\\\
x=1](https://tex.z-dn.net/?f=-5%5E%7Bx-1%7D+-5%5E%7Bx%7D+%2B5%5E%7Bx%2B2%7D%3D119%5C%5C%5C%5C%5C%5C%0A-5%5E%7Bx%7D.5%5E%7B-1%7D+-5%5E%7Bx%7D%2B5%5E%7Bx%7D.5%5E%7B2%7D%3D119%5C%5C%5C%5C%5C%5C+%0A+5%5E%7Bx%7D.%28-1.5%5E%7B-1%7D+-1%2B1.5%5E%7B2%7D%29%3D119%5C%5C%5C%5C%5C%5C+%0A+5%5E%7Bx%7D.%28-1.+%5Cfrac%7B1%7D%7B5%7D+-1%2B5%5E%7B2%7D%29%3D119%5C%5C%5C%5C%5C%5C+%0A5%5E%7Bx%7D.%28+%5Cfrac%7B-1%7D%7B5%7D+-1%2B25%29%3D119%5C%5C%5C%5C%5C%5C%0A+5%5E%7Bx%7D.%28+%5Cfrac%7B-1-5%2B125%7D%7B5%7D+%29%3D119%5C%5C%5C%5C%5C%5C+%0A+%0A5%5E%7Bx%7D.%28+%5Cfrac%7B119%7D%7B5%7D+%29%3D119%5C%5C%5C%5C%5C%5C+%0A%0A5%5E%7Bx%7D.%28119+%29%3D595%5C%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D%3D+%5Cfrac%7B595%7D%7B119%7D%5C%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D%3D+5%5C%5C%5C%5C%5C%0Ax%3D1+%0A "-5^{x-1} -5^{x} +5^{x+2}=119\\\\\\
-5^{x}.5^{-1} -5^{x}+5^{x}.5^{2}=119\\\\\\
5^{x}.(-1.5^{-1} -1+1.5^{2})=119\\\\\\
5^{x}.(-1. \frac{1}{5} -1+5^{2})=119\\\\\\
5^{x}.( \frac{-1}{5} -1+25)=119\\\\\\
5^{x}.( \frac{-1-5+125}{5} )=119\\\\\\
5^{x}.( \frac{119}{5} )=119\\\\\\
5^{x}.(119 )=595\\\\\\
5^{x}= \frac{595}{119}\\\\\\
5^{x}= 5\\\\\
x=1")
Bom dia!
Bons estudos!
Solução!
Bom dia!
Bons estudos!
almeidinha1:
muito obrigada!
De nada!
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