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blackmeow
@blackmeow
July 2021
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lg(2^x-2+3)-lg15больше lg7-lg3
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Gviona
Lg[2^(x-2) +3] -lg15>lg7-lg3 ОДЗ:2^(x-2)+3>0 при x e R
lg [2^(x-2) +3] - lg15> lg7/3
lg [2^(x-2) +3] > lg7/3+lg15
lg [2^(x-2) +3] > lg (7/3 * 15)
lg [2^(x-2) +3] > lg35
2^(x-2)+3>35
2^(x-2) > 32
2^(x-2) > 2^5
x-2>5
x>7
Ответ: x>7
1 votes
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blackmeow
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Answers & Comments
lg [2^(x-2) +3] - lg15> lg7/3
lg [2^(x-2) +3] > lg7/3+lg15
lg [2^(x-2) +3] > lg (7/3 * 15)
lg [2^(x-2) +3] > lg35
2^(x-2)+3>35
2^(x-2) > 32
2^(x-2) > 2^5
x-2>5
x>7
Ответ: x>7