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анастасия2000000
@анастасия2000000
August 2022
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Помогите с логарифмами, пожалуйста!
Те, которые обведены
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sedinalana
Verified answer
231
(log²²(2)3+log(2)9*log(2)5-3log²²(2)5)/(log(2)3+3log(2)5)=
=(log(2)3+3log(2)5)*(log(2)3-log(2)5)/(log(2)3+3log(2)5)=
=log(2)3-log(2)5=log(2)0,6
232
(log(2)√5-log(∛4)5+log(4)25-1/log(5)2)²-log²(2)2/5=
=(1/2*log(2)5-3/2*log(2)5+log(2)5-log(2)5)²-log²(2)2/5=
=(-log(5)5)²-log²(2)2/5=log²(2)5-log²(2)2/5=
=(log(2)5-log(2)2/5)*(log(2)5+log(2)2/5)=log(2)25/2*log(2)2=
=(log(2)25-log(2)2)*1=2log(2)5 -1
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Verified answer
231(log²²(2)3+log(2)9*log(2)5-3log²²(2)5)/(log(2)3+3log(2)5)=
=(log(2)3+3log(2)5)*(log(2)3-log(2)5)/(log(2)3+3log(2)5)=
=log(2)3-log(2)5=log(2)0,6
232
(log(2)√5-log(∛4)5+log(4)25-1/log(5)2)²-log²(2)2/5=
=(1/2*log(2)5-3/2*log(2)5+log(2)5-log(2)5)²-log²(2)2/5=
=(-log(5)5)²-log²(2)2/5=log²(2)5-log²(2)2/5=
=(log(2)5-log(2)2/5)*(log(2)5+log(2)2/5)=log(2)25/2*log(2)2=
=(log(2)25-log(2)2)*1=2log(2)5 -1