Question

Log de raiz quadrada de 32 na base de raiz quadrada de 8 ??

Answer 1

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$\log_{ \sqrt{8} }32=x \\ \\ ( \sqrt{8} )^x=32 \\ \\ (8^{ \frac{1}{2} )^x}=32 \\ \\ (2^{3. \frac{1}{2} }^x=2^5 \\ \\ 2^{ \frac{3x}{2} }=2^5 \\ \\ cancela~~a~~base \\ \\ \frac{3x}{2} =5 \\ \\ 3x=10 \\ \\ x= \frac{10}{3}$