Автор - lianaliana02

1/8 log2 64-log4 2=...

Log8 32-log8 1/16=...

Log7 196-2log7 2=...

Ответ

Автор - wieslawlozickip5w1nd

1)

1/8 log_(2) 64-log_(4) 2=3/4-1/2 = ¾-2/4= ¼

*1/8log_(264=1/8log_(2)2^6 =6/8 log_(2)2=3/4 *1=3/4

*log_(4) 2=1/2


2)

Log_(8) 32-log_(8) 1/16=5/3-(-1)=5/3+1=5/3 +4/3=9/3=3

*log_(8)32=log_(8)2^5=5log_(8) 2=5*1/3=5/3

*log_(8) 1/16=log_(8)16^(-1)=-log_(8)2^4=-4log_(8)2=-4*1/3=-4/3


3)

Log_(7)196-2log_(7)2=log_(7)196-log_(7)2²=log_(7)196-log_(7) 4=       =log_(7) (196:4)=log_(7) 49=2


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