MatemáticasBásico1 respuestas

Cuanto es[tex] {2} ^ {x} + {4} ^ {x} = 72[ / tex]​?

Cuanto es [tex] {2} ^ {x} + {4} ^ {x} = 72[ / tex] ​.

10Agalloarrondo1713

En resumen

Sabemos que : <img src="https://tex.z-dn.net/?f=4%3D2%5E%7B2%7D" />Entonces : <img src="https://tex.z-dn.net/?f=4%5E%7Bx%7D%3D2%5E%7B%282%29x%7D%20%3D2%5E%7B2x%7D" /><img src="https://tex.z-dn.net/?

Mejor respuesta

Mateojoaquingon

6

Sabemos que : <img src="https://tex.z-dn.net/?f=4%3D2%5E%7B2%7D" />Entonces : <img src="https://tex.z-dn.net/?f=4%5E%7Bx%7D%3D2%5E%7B%282%29x%7D%20%3D2%5E%7B2x%7D" /><img src="https://tex.z-dn.net/?f=2%5E%7Bx%7D%20%2B2%5E%7B2x%7D%3D72%5C%5C2%5E%7Bx%7D%2A1%20%2B2%5E%7Bx%7D%2A2%5E%7Bx%7D%3D72%5C%5C2%5E%7Bx%7D%281%2B2%5E%7Bx%7D%29%3D72%5C%5C" />Descomponiendo el 72.

<img src="https://tex.z-dn.net/?f=2%5E%7Bx%7D%281%2B2%5E%7Bx%7D%29%3D8%2A9%5C%5C2%5E%7Bx%7D%3D8%5C%5Cx%3D3" />.