[tex]{a} ^ {2x + 1} = {a} ^ {3x + 2} [ / tex]?

<img src="https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2x%20%2B%201%7D%20%20%20%3D%20%20%7Ba%7D%5E%7B3x%20%2B%202%7D%20" />

RESPUESTA.

<img src="https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2x%20%2B%201%7D%20%20%20%3D%20%20%7Ba%7D%5E%7B3x%20%2B%202%7D%5C%5C%0A%5C%5C%0A%5Cmathrm%7BSi%5C%3A%7Da%5E%7Bf%5Cleft%28x%5Cright%29%7D%3Da%5E%7Bg%5Cleft%28x%5Cright%29%7D%5Cmathrm%7B%2C%5C%3AEntonces%5C%3A%7Df%5Cleft%28x%5Cright%29%3Dg%5Cleft%28x%5Cright%29" />

PASOS PARA RESOLVER 2X + 1 = 3X + 2 :

<img src="https://tex.z-dn.net/?f=2x%2B1%3D3x%2B2%5C%5C%0A%5C%5C%0A%5Cmathrm%7BSustraemos%5C%3A%7D1%5Cmathrm%7B%5C%3Apor%5C%3Aambos%5C%3Alados%7D%5C%5C%0A%5C%5C%0A2x%2B1-1%3D3x%2B2-1%5C%5C%0A%5C%5C%0A%5Cmathrm%7BSimplificamos%7D%5C%5C%0A%5C%5C%0A2x%20%3D%203x%20%2B1%5C%5C%0A%5C%5C%0A%5Cmathrm%7BSustraemos%20%5C%203x%20%5C%20por%20%5C%20ambos%20%5C%20lados%7D%5C%5C%0A%5C%5C%0A2x-3x%3D3x%2B1-3x%5C%5C%0A%5C%5C%0A%5Cmathrm%7BSimplificamos%7D%5C%5C%0A%5C%5C%0A-x%20%3D%201%5C%5C%0A%5C%5C%0A%5Cboxed%7B%5Cboxed%7Bx%20%3D%20-1%7D%7D%20%5C%20%5Ccheckmark" />

x = - 1.