Qual o valor de x para que essa afirmativa seja verdadeira. Raiz quarta de 3 elevado x +1 = 3
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![( \sqrt[4]{3} )^{x + 1} = 3 \\ \\ ( {3}^{ \frac{1}{4} } )^{x + 1} = {3}^{1} \\ \\ 3 ^{ \frac{x}{4} + \frac{1}{4} } = {3}^{1} \\ \\ \frac{x}{4} + \frac{1}{4} = 1 \\ \\ x + 1 = 4 \\ x = 4 - 1 \\ x = 3](https://tex.z-dn.net/?f=%28++%5Csqrt%5B4%5D%7B3%7D+%29%5E%7Bx+%2B+1%7D++%3D+3+%5C%5C++%5C%5C+%28+%7B3%7D%5E%7B+%5Cfrac%7B1%7D%7B4%7D+%7D+%29%5E%7Bx+%2B+1%7D++%3D++%7B3%7D%5E%7B1%7D++%5C%5C++%5C%5C+3+%5E%7B+%5Cfrac%7Bx%7D%7B4%7D++%2B++%5Cfrac%7B1%7D%7B4%7D+%7D++%3D++%7B3%7D%5E%7B1%7D++%5C%5C++%5C%5C++%5Cfrac%7Bx%7D%7B4%7D++%2B++%5Cfrac%7B1%7D%7B4%7D++%3D+1+%5C%5C++%5C%5C+x+%2B+1+%3D+4+%5C%5C+x+%3D+4+-+1+%5C%5C+x+%3D+3 "( \sqrt[4]{3} )^{x + 1} = 3 \\ \\ ( {3}^{ \frac{1}{4} } )^{x + 1} = {3}^{1} \\ \\ 3 ^{ \frac{x}{4} + \frac{1}{4} } = {3}^{1} \\ \\ \frac{x}{4} + \frac{1}{4} = 1 \\ \\ x + 1 = 4 \\ x = 4 - 1 \\ x = 3")
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