Alguém me ajuda a resolver a questão da imagem, por favor??
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Olá Mori,
dada a expressão,
![E=log _{ \frac{1}{2} }32-log0,001+log _{0,1}10 \sqrt{10}\\
E=log _{ \frac{1}{2} }2^{5}-log_{10}10^{-3}+log_{10 ^{-1} } \sqrt{10^{2}*10 }\\
E=5*log _{ \frac{1}{2} }2-[(-3)*log _{10}10]+log _{10^{-1} } \sqrt{10 ^{3} }\\
E=5log _{2^{-1} }2+3log_{10}10-log_{10}10 ^{ \frac{3}{2} }\\
E=-5log _{2}2+3log _{10}10- \frac{3}{2}log _{10}10\\
E=(-5)*1+3*1- \frac{3}{2}*1\\
E=-5+3- \frac{3}{2}\\\\
\boxed{E=- \frac{7}{2}}](https://tex.z-dn.net/?f=E%3Dlog+_%7B+%5Cfrac%7B1%7D%7B2%7D+%7D32-log0%2C001%2Blog+_%7B0%2C1%7D10+%5Csqrt%7B10%7D%5C%5C%0AE%3Dlog+_%7B+%5Cfrac%7B1%7D%7B2%7D+%7D2%5E%7B5%7D-log_%7B10%7D10%5E%7B-3%7D%2Blog_%7B10+%5E%7B-1%7D+%7D+%5Csqrt%7B10%5E%7B2%7D%2A10+%7D%5C%5C%0AE%3D5%2Alog+_%7B+%5Cfrac%7B1%7D%7B2%7D+%7D2-%5B%28-3%29%2Alog+_%7B10%7D10%5D%2Blog+_%7B10%5E%7B-1%7D+%7D+%5Csqrt%7B10+%5E%7B3%7D+%7D%5C%5C%0AE%3D5log+_%7B2%5E%7B-1%7D+%7D2%2B3log_%7B10%7D10-log_%7B10%7D10+%5E%7B+%5Cfrac%7B3%7D%7B2%7D+%7D%5C%5C%0AE%3D-5log+_%7B2%7D2%2B3log+_%7B10%7D10-+%5Cfrac%7B3%7D%7B2%7Dlog+_%7B10%7D10%5C%5C%0AE%3D%28-5%29%2A1%2B3%2A1-+%5Cfrac%7B3%7D%7B2%7D%2A1%5C%5C%0AE%3D-5%2B3-+%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5C%0A%5Cboxed%7BE%3D-+%5Cfrac%7B7%7D%7B2%7D%7D++++++++++++++++++++++++ "E=log _{ \frac{1}{2} }32-log0,001+log _{0,1}10 \sqrt{10}\\
E=log _{ \frac{1}{2} }2^{5}-log_{10}10^{-3}+log_{10 ^{-1} } \sqrt{10^{2}*10 }\\
E=5*log _{ \frac{1}{2} }2-[(-3)*log _{10}10]+log _{10^{-1} } \sqrt{10 ^{3} }\\
E=5log _{2^{-1} }2+3log_{10}10-log_{10}10 ^{ \frac{3}{2} }\\
E=-5log _{2}2+3log _{10}10- \frac{3}{2}log _{10}10\\
E=(-5)*1+3*1- \frac{3}{2}*1\\
E=-5+3- \frac{3}{2}\\\\
\boxed{E=- \frac{7}{2}}")
Espero ter ajudado e tenha ótimos estudos =))
dada a expressão,
Espero ter ajudado e tenha ótimos estudos =))
morisamp:
Muito Obrigada (:
nds ^^
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