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guad guad
  • 12-02-2015
  • Mathematics
Answered

simplify each equation, then solve. 1) log 2 128=x

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luana
luana luana
  • 12-02-2015

\(l[tex]log_{2}128=x\\\\ Formula\ for\ log:\\ log_{a}c=b\ \ \ =>\ a^b=c\\\\ 2^x=128\\\\ 2^x=2^7\\\\ x=7\\\\Solution\ is\ x=7.\)[/tex]

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Anonymous Anonymous
  • 12-02-2015

\(\log _{ 2 }{ 128 } =x\\ \\ \log _{ 2 }{ \left( { 2 }^{ 7 } \right) } =x\\ \\ 7\cdot \log _{ 2 }{ 2 } =x\)

\(\\ \\ 7\cdot 1=x\\ \\ \therefore \quad x=7\)

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