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18.03.2013

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log0.524x + log2(x2/8) = 8.
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, x > 0.

log0.524x = log2-124x = log224x :

log224x + log2x2 - log28 = 8.

(log24 + log2x)2 + 2log2|x| - 11 = 0.

x > 0, :

4 + 4log2x + log22x + 2log2x - 11 = 0.

log2x = a,

a2 + 6a - 7 = 0.

a = -7 a = 1.

:

log2x = -7 log2x = 1.

: x = 2-7 x = 2.

: x = 2-7 x = 2.


3lg2(x - 1) - 10lg(x - 1) + 3 = 0.
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lg(x - 1) = a.

3a2 - 10a + 3 = 0.

D = 100 - 433 = 64.

a1 = (8 + 10) / 6 = 3.

a2 = (-8 + 10) / 6 = 1/3.

:

lg(x - 1) = 3 lg(x - 1) = 1/3.

x = 1001 x = 310 + 1.

: x = 1001 x = 310 + 1.


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