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den180600
@den180600
July 2022
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Помогите решить неравенства)
2^(x-1)+2^(x+3)>17
5^(3x+1)-5^(3x-3)> или равно 624
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sedinalana
Verified answer
1
2^(x-1)*(1+2^4)>17
17*2^(x-1)>17
2^(x-1)>1
x-1>0
x>1
x∈(1;∞)
2
5^(3x-3)*(5^4-1)≥624
624*5^(3x-3)≥624
5^(3x-3)≥1
3x-3≥0
3x≥3
x≥1
x∈[1;∞)
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Answers & Comments
Verified answer
12^(x-1)*(1+2^4)>17
17*2^(x-1)>17
2^(x-1)>1
x-1>0
x>1
x∈(1;∞)
2
5^(3x-3)*(5^4-1)≥624
624*5^(3x-3)≥624
5^(3x-3)≥1
3x-3≥0
3x≥3
x≥1
x∈[1;∞)