Question

quanto e log de 512 na base de 1\4

Answer 1

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$\log_ \frac{1}{4} {512}=x \\ \\ ( \frac{1}{4} )^x=512 \\ \\ 4^{-x}=512 \\ \\ 2^{-2x}=2^9 \\ \\ -2x=9 \\ \\ 2x=-9 \\ \\ x=- \frac{9}{2}$