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JuliannaE
@JuliannaE
July 2022
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помогите пожалуйста решить логарифмы с 030 по 036
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natali3221
30) log7 196- 2 log7 2=log7 196-log7 2²=log7 (196\4)=log7 49=log7 7²=2log7 7=2
31)log5 175-log5 7 =log5 (175\7)=log5 25=log5 5²=2log5 5=2
32)log2 5-log2 35+log2 56=log2( (5\35)·56)=log2 8=log2 2³=3log2 2=3
33)log5 8-log5 2+log5 (25\4)=log5 ((8\2)·25\4)=log5 25=log5 5²=2log5 5=2
34)10^(lg2+lg3)=10^(lg2·3)=10^lg6=6
35)10^(1+lg5)=10^(lg10+lg5)=10^lg50=50
36)10^(lg7+lg(2\7))=10^(lg(7·2\7)=10^lg2=2
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Answers & Comments
31)log5 175-log5 7 =log5 (175\7)=log5 25=log5 5²=2log5 5=2
32)log2 5-log2 35+log2 56=log2( (5\35)·56)=log2 8=log2 2³=3log2 2=3
33)log5 8-log5 2+log5 (25\4)=log5 ((8\2)·25\4)=log5 25=log5 5²=2log5 5=2
34)10^(lg2+lg3)=10^(lg2·3)=10^lg6=6
35)10^(1+lg5)=10^(lg10+lg5)=10^lg50=50
36)10^(lg7+lg(2\7))=10^(lg(7·2\7)=10^lg2=2