A equação 5 elevado a 3x menos 2 igual a 625
Soluções para a tarefa
Respondido por
3
Bom dia Marcos!
Solução!
![5^{3x-2}=625\\\\\
5^{3x}.5^{-2}=625\\\\\\
5^{3x}. (\frac{1}{5})^{2}=625\\\\\\
5^{3x}. \frac{1}{25}=625\\\\\\\
5^{3x}= \dfrac{625}{ \dfrac{1}{25} }\\\\\\\
5^{3x}= \frac{625}{25}\\\\\\
5^{3x}=125](https://tex.z-dn.net/?f=5%5E%7B3x-2%7D%3D625%5C%5C%5C%5C%5C%0A5%5E%7B3x%7D.5%5E%7B-2%7D%3D625%5C%5C%5C%5C%5C%5C%0A5%5E%7B3x%7D.+%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B2%7D%3D625%5C%5C%5C%5C%5C%5C%0A5%5E%7B3x%7D.+%5Cfrac%7B1%7D%7B25%7D%3D625%5C%5C%5C%5C%5C%5C%5C%0A5%5E%7B3x%7D%3D+%5Cdfrac%7B625%7D%7B+%5Cdfrac%7B1%7D%7B25%7D+%7D%5C%5C%5C%5C%5C%5C%5C%0A5%5E%7B3x%7D%3D+%5Cfrac%7B625%7D%7B25%7D%5C%5C%5C%5C%5C%5C%0A5%5E%7B3x%7D%3D125+++++++++++++ "5^{3x-2}=625\\\\\
5^{3x}.5^{-2}=625\\\\\\
5^{3x}. (\frac{1}{5})^{2}=625\\\\\\
5^{3x}. \frac{1}{25}=625\\\\\\\
5^{3x}= \dfrac{625}{ \dfrac{1}{25} }\\\\\\\
5^{3x}= \frac{625}{25}\\\\\\
5^{3x}=125")
![5^{3x}=5^{3}\\\\\\
3x=3\\\\\\
x= \dfrac{3}{3}\\\\\
x=1](https://tex.z-dn.net/?f=5%5E%7B3x%7D%3D5%5E%7B3%7D%5C%5C%5C%5C%5C%5C%0A3x%3D3%5C%5C%5C%5C%5C%5C%0Ax%3D+%5Cdfrac%7B3%7D%7B3%7D%5C%5C%5C%5C%5C%0Ax%3D1++ "5^{3x}=5^{3}\\\\\\
3x=3\\\\\\
x= \dfrac{3}{3}\\\\\
x=1")
Bom dia!
Bons estudos!
Solução!
Bom dia!
Bons estudos!
Perguntas interessantes