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`