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Whitedama
@Whitedama
October 2021
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177 номер. Помоги, пожалуйста, буду очень благодарна.
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sedinalana
Verified answer
Log(54)3=1/log(3)54
log(18)3=1/log(3)18
log(3)162/log(54)3-log(3)486/log(18)3=
=log(3)162*log(3)54-log(3)486)*log(3)18=
=log(3)(2*81)*log(2*27)-log(3)(2*243)*log(3)(2*9)=
=(log(3)2+4)(log(3)2+3)-(log(3)2+5)(log(3)2+2)=
=log²(3)2+3log(3)2+4log(3)2+12-log²(3)2-2log(3)2-5log(3)2-10=
=12-10=2
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Verified answer
Log(54)3=1/log(3)54log(18)3=1/log(3)18
log(3)162/log(54)3-log(3)486/log(18)3=
=log(3)162*log(3)54-log(3)486)*log(3)18=
=log(3)(2*81)*log(2*27)-log(3)(2*243)*log(3)(2*9)=
=(log(3)2+4)(log(3)2+3)-(log(3)2+5)(log(3)2+2)=
=log²(3)2+3log(3)2+4log(3)2+12-log²(3)2-2log(3)2-5log(3)2-10=
=12-10=2