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posledela
3 years ago
5

Find x. please give calculation too. please

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

log_{2}x -log_{4}x= -2 \\ \\ log_{2}x -\frac{log_{2}x}{log_{2}4}= -2  \\ \\ log_{2}x*(1-\frac{1}{log_{2}4})=-2 \\ \\ log_{2}x*(1-\frac{1}{2})=-2 \\ \\\frac{1}{2}*log_{2}x=-2 \\ \\ log_{2}x=-4,   \\ \\ x=2^{-4} = \frac{1}{2^{4}}=0.0625

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