Answer
$\log_{4} 200$
Work Step by Step
Step 1: $3\log_{4} 2+2\log_{4} 5$
Step 2: Use the power property: $\log_{4} 2^{3}+\log_{4} 5^{2}$.
Step 3: $\log_{4} 8+\log_{4} 25$
Step 4: Use the product property: $\log_{4} (8\times25)$.
Step 5: $\log_{4} 200$