Calcule o log :
raiz cúbica de 7 na base 49
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![\log_{49}{ \sqrt[3]{7} =x](https://tex.z-dn.net/?f=%5Clog_%7B49%7D%7B+%5Csqrt%5B3%5D%7B7%7D+%3Dx+ "\log_{49}{ \sqrt[3]{7} =x")
![49^x= \sqrt[3]{7} \\ \\ 7^{2x}=7^{ \frac{1}{3}} \\ \\ 2x= \frac{1}{3 } \\ \\ 6x=1 \\ \\ x= \frac{1}{6}](https://tex.z-dn.net/?f=49%5Ex%3D+%5Csqrt%5B3%5D%7B7%7D++%5C%5C++%5C%5C+7%5E%7B2x%7D%3D7%5E%7B+%5Cfrac%7B1%7D%7B3%7D%7D++%5C%5C++%5C%5C+2x%3D+%5Cfrac%7B1%7D%7B3+%7D++%5C%5C++%5C%5C+6x%3D1+%5C%5C++%5C%5C+x%3D+%5Cfrac%7B1%7D%7B6%7D+ "49^x= \sqrt[3]{7} \\ \\ 7^{2x}=7^{ \frac{1}{3}} \\ \\ 2x= \frac{1}{3 } \\ \\ 6x=1 \\ \\ x= \frac{1}{6}")
Cacaudia:
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