resolva as inequacoes a)
![( \sqrt[3]{3})^{x} \leqslant \frac{1}{2}](https://tex.z-dn.net/?f=%28++%5Csqrt%5B3%5D%7B3%7D%29%5E%7Bx%7D+++%5Cleqslant++%5Cfrac%7B1%7D%7B2%7D+ "( \sqrt[3]{3})^{x} \leqslant \frac{1}{2}")
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![( \sqrt[3]{3 } )^{x} \leq \frac{1}{2} \Rightarrow 3^{ \frac{x}{3}} \leq 2^{-1} \\ \\ log 3^{ \frac{x}{3} } \leq log 2^{-1} \Rightarrow \frac{x}{3}log3 \leq -1log2 \\ \\ \boxed {x \leq - \frac{3log2}{log3}}](https://tex.z-dn.net/?f=%28+%5Csqrt%5B3%5D%7B3+%7D+%29%5E%7Bx%7D++%5Cleq++%5Cfrac%7B1%7D%7B2%7D+%5CRightarrow++3%5E%7B+%5Cfrac%7Bx%7D%7B3%7D%7D++%5Cleq++2%5E%7B-1%7D++%5C%5C++%5C%5C+log+3%5E%7B+%5Cfrac%7Bx%7D%7B3%7D+%7D++%5Cleq+log+2%5E%7B-1%7D+%5CRightarrow++%5Cfrac%7Bx%7D%7B3%7Dlog3+%5Cleq+-1log2+%5C%5C++%5C%5C++%5Cboxed+%7Bx+%5Cleq+-+%5Cfrac%7B3log2%7D%7Blog3%7D%7D "( \sqrt[3]{3 } )^{x} \leq \frac{1}{2} \Rightarrow 3^{ \frac{x}{3}} \leq 2^{-1} \\ \\ log 3^{ \frac{x}{3} } \leq log 2^{-1} \Rightarrow \frac{x}{3}log3 \leq -1log2 \\ \\ \boxed {x \leq - \frac{3log2}{log3}}")
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