a)log 1/125 125=x
b)log 2 ⁴√2=x
c) log 9 ⁵√81=x
Soluções para a tarefa
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5
a)
b)
![\log_2 \sqrt[4]{2} =x \\ \\ 2^x= \sqrt[4]{2} \\ \\ 2^x=2^{ \frac{1}{4} } \\ \\ x= \frac{1}{4}](https://tex.z-dn.net/?f=%5Clog_2+%5Csqrt%5B4%5D%7B2%7D+%3Dx+%5C%5C++%5C%5C+2%5Ex%3D+%5Csqrt%5B4%5D%7B2%7D++%5C%5C++%5C%5C+2%5Ex%3D2%5E%7B+%5Cfrac%7B1%7D%7B4%7D+%7D+%5C%5C++%5C%5C+x%3D+%5Cfrac%7B1%7D%7B4%7D+ "\log_2 \sqrt[4]{2} =x \\ \\ 2^x= \sqrt[4]{2} \\ \\ 2^x=2^{ \frac{1}{4} } \\ \\ x= \frac{1}{4}")
c)
![\log_9 \sqrt[5]{81} =x \\ \\ 9^x= \sqrt[5]{81} \\ \\ 9^x=81^{ \frac{1}{5} } \\ \\ 9^x=(9^2)^{ \frac{1}{5} } \\ \\ 9^x=9^{ \frac{2}{5} } \\ \\ x= \frac{2}{5}](https://tex.z-dn.net/?f=%5Clog_9+%5Csqrt%5B5%5D%7B81%7D+%3Dx+%5C%5C++%5C%5C+9%5Ex%3D+%5Csqrt%5B5%5D%7B81%7D++%5C%5C++%5C%5C+9%5Ex%3D81%5E%7B+%5Cfrac%7B1%7D%7B5%7D+%7D+%5C%5C++%5C%5C+9%5Ex%3D%289%5E2%29%5E%7B+%5Cfrac%7B1%7D%7B5%7D+%7D+%5C%5C++%5C%5C+9%5Ex%3D9%5E%7B+%5Cfrac%7B2%7D%7B5%7D+%7D+%5C%5C++%5C%5C+x%3D+%5Cfrac%7B2%7D%7B5%7D+ "\log_9 \sqrt[5]{81} =x \\ \\ 9^x= \sqrt[5]{81} \\ \\ 9^x=81^{ \frac{1}{5} } \\ \\ 9^x=(9^2)^{ \frac{1}{5} } \\ \\ 9^x=9^{ \frac{2}{5} } \\ \\ x= \frac{2}{5}")
b)
c)
Usuário anônimo:
OK!
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