Urgente,por favor equação exponencial,obs: o x +1 é no expoente
O valor de x que satisfaz a equação 5 elevado a x+1 -7.5 elevado a x= - 2 é
a) - 1
b) 0
c) 1
d) 2
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Bom dia Aliny!
Solução!
![5^{x+1} -7.5^{x}=- 2\\\\\
5^{x}.5^{1} -7.5^{x} =-2\\\\\\
5^{x}(5^{1}-7)=-2\\\\\\
5^{x}.(5-7)=-2\\\\\\
5^{x}.(-2)=-2\\\\\\
5^{x}= \dfrac{-2}{-2}\\\\\
5^{x}=1\\\\\\\\
Lembrando: todo~~ numero ~~elevado ~~zero~~ e~~ igual ~~a~~1.\\\\\\
Logo!\\\\\\\
\boxed{x=0}](https://tex.z-dn.net/?f=5%5E%7Bx%2B1%7D+-7.5%5E%7Bx%7D%3D-+2%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D.5%5E%7B1%7D+-7.5%5E%7Bx%7D+%3D-2%5C%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D%285%5E%7B1%7D-7%29%3D-2%5C%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D.%285-7%29%3D-2%5C%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D.%28-2%29%3D-2%5C%5C%5C%5C%5C%5C++%0A5%5E%7Bx%7D%3D+%5Cdfrac%7B-2%7D%7B-2%7D%5C%5C%5C%5C%5C%0A5%5E%7Bx%7D%3D1%5C%5C%5C%5C%5C%5C%5C%5C%0ALembrando%3A+todo%7E%7E+numero+%7E%7Eelevado+%7E%7Ezero%7E%7E+e%7E%7E+igual+%7E%7Ea%7E%7E1.%5C%5C%5C%5C%5C%5C%0ALogo%21%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7Bx%3D0%7D%0A++++ "5^{x+1} -7.5^{x}=- 2\\\\\
5^{x}.5^{1} -7.5^{x} =-2\\\\\\
5^{x}(5^{1}-7)=-2\\\\\\
5^{x}.(5-7)=-2\\\\\\
5^{x}.(-2)=-2\\\\\\
5^{x}= \dfrac{-2}{-2}\\\\\
5^{x}=1\\\\\\\\
Lembrando: todo~~ numero ~~elevado ~~zero~~ e~~ igual ~~a~~1.\\\\\\
Logo!\\\\\\\
\boxed{x=0}")
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Bons estudos!
Solução!
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Bons estudos!
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