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решите неравенство 15^x-9*5^x-3^x+9<=0
подробно с числовой прямой
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Химик525
Verified answer
15^x-9*5^x-3^x+9<=0
5^x*3^x-9*5^x-3^x+9<=0
5^x(3^x-9)-(3^x-9)<=0
(3^x-9)(5^x-1)<=0
3^x=9 => x=2 ; 5^x=1 => x=0
Ответ:
x€[0;2]
46 votes
Thanks 94
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Answers & Comments
Verified answer
15^x-9*5^x-3^x+9<=05^x*3^x-9*5^x-3^x+9<=0
5^x(3^x-9)-(3^x-9)<=0
(3^x-9)(5^x-1)<=0
3^x=9 => x=2 ; 5^x=1 => x=0
Ответ: x€[0;2]