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theevilbanny
@theevilbanny
August 2022
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Пожалуйста, нужна помощь. Сделайте любой из задания(можно и сразу 2 по желанию)
Решите неравенство
[tex]1) log_{log2}(2x-3)>0
2) log_{ \frac{1}{3}}log_3(x-1)>0 [/tex]
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Evklid61
Verified answer
1)2x-2>0⇒2x>3⇒x>1,5
2x-3>1⇒2x>4⇒x>2
x∈(2;∞)
2)log(3)(x-1)>0⇒x-1>1⇒x>2
x-1>0⇒x>1
log(3)(x-1)<1⇒x-1<3⇒x<4
x∈(2;4)
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Answers & Comments
Verified answer
1)2x-2>0⇒2x>3⇒x>1,52x-3>1⇒2x>4⇒x>2
x∈(2;∞)
2)log(3)(x-1)>0⇒x-1>1⇒x>2
x-1>0⇒x>1
log(3)(x-1)<1⇒x-1<3⇒x<4
x∈(2;4)