Автор - Hacker1867

1)Log2×5-log2×35+log2×56
2)log5^2×x-log5×x-2=0
3) log1/3^3×1/9

Ответ

Автор - koktelnayavishenka

1) log_{2} 5 - log_{2} 35 + log_{2} 56 = log_{2} frac{5}{35} + log_{2} 56 = log_{2} frac{1}{7} + log_{2} 56 = log_{2} (frac{1}{7} × 56) = log_{2} 8 = 3

2) log_{5^{2} } x - log_{5} x - 2 = 0

2 × log_{5} x - log_{5} x = 2

log_{5} x = log_{5} 25

x = 25 = ± 5

3) log_{(frac{1}{3})^{3} } frac{1}{9} = frac{1}{3} × log_{frac{1}{3} } frac{1}{9} = frac{1}{3} × 2 = frac{2}{3}

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