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Evaluate the expression. log_{4} 64^600

User SIFE
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2 Answers

4 votes

\log _( 4 ){ \left( { 64 }^( 600 ) \right) } \\ \\ =600\cdot \log _( 4 ){ 64 } \\ \\ =600\cdot 3\\ \\ =1,800
User Souper
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\log_(4) 64^(600)=\\ \log_(4) (4^3)^(600)=\\ \log_(4) 4^(3\cdot 600)=\\ \log_(4) 4^(1800)=\\ 1800
User Hubert Schumacher
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