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evaluate the expression. log_{4} 64^600

Sagot :

konrad509
[tex] \log_{4} 64^{600}=\\ \log_{4} (4^3)^{600}=\\ \log_{4} 4^{3\cdot 600}=\\ \log_{4} 4^{1800}=\\ 1800[/tex]
[tex]\log _{ 4 }{ \left( { 64 }^{ 600 } \right) } \\ \\ =600\cdot \log _{ 4 }{ 64 } \\ \\ =600\cdot 3\\ \\ =1,800[/tex]
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