Question

Evaluate the expression. log_{4} 64^600

Answer 1

$\log _{ 4 }{ \left( { 64 }^{ 600 } \right) } \\ \\ =600\cdot \log _{ 4 }{ 64 } \\ \\ =600\cdot 3\\ \\ =1,800$

Answer 2

$\log_{4} 64^{600}=\\ \log_{4} (4^3)^{600}=\\ \log_{4} 4^{3\cdot 600}=\\ \log_{4} 4^{1800}=\\ 1800$