Автор - Sneckers

Вычислите:

1) frac{ log_{3} 16}{ log_{3} 4 } + ( log_{2} 44 - log_{2} 11)

2) frac{ log_{4} 64 }{ log_{4} 8 } + ( log_{12}4+ log_{12}36)

Ответ

Автор - tanyshik607
1. log₃16/log₃4=log₃4²/log₃4=3*log₃4/log₃4=3
    log₂44-log₂11=log₂(44/11)=log₂4=2
    3+2=5
2. log₄64/log₄8=log₄8²/log₄8=2log₄8/log₄8=2
    log₁₂4+log₁₂36=log₁₂(4*36)=log₁₂144=2
   2+2=4

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