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ivanov5672011
@ivanov5672011
July 2022
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Решите пожалуйста 5,6 номера
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mikael2
Verified answer
X-3>0 x-3≠1→x>3 x≠4
1/log16 (x-3)>2 log 16(x-3)<1/2
log2^4 (x-3)=1/4log2 (x-3)
1/4log2(x-3)<1/2
log2 (x-3)<2=log2(4)
x-3<4 x<7
x∈(3;4)(4;7)
-------------------
sin²20+sin²70=sin²20+cos²20=1
sin²40+sin²50=sin²40+cos²40=1
все выражение равно 2.
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Answers & Comments
Verified answer
X-3>0 x-3≠1→x>3 x≠41/log16 (x-3)>2 log 16(x-3)<1/2
log2^4 (x-3)=1/4log2 (x-3)
1/4log2(x-3)<1/2
log2 (x-3)<2=log2(4)
x-3<4 x<7
x∈(3;4)(4;7)
-------------------
sin²20+sin²70=sin²20+cos²20=1
sin²40+sin²50=sin²40+cos²40=1
все выражение равно 2.