{2 \times 4 \times 8 \times 16}/{(\log _{2} 4)^{2}(\log _{4} 8)^{3}(\log _{8} 16)^{4}} equals

CAT 2020 Exam Shift 3 Solved Paper

Question : 73 of 76

Marks: +1, -0

\;{2 × 4 × 8 × 16}/{(\log _{2} 4)^{2}(\log _{4} 8)^{3}(\log _{8} 16)^{4}}

equals

Solution:

\log _{2} 4=2 ; \log _{4} 8=\;{3}/{2} ; \log _{8} 16=\;{4}/{3}

\;{2 × 4 × 8 × 16}/{(\log _{2} 4)^{2} ×(\log _{4} 8)^{3} ×(\log _{8} 16)^{4}}=\;{2 × 4 × 8 × 16}/{(2)^{2} ×(3 {/} 2)^{3} ×(4 {/} 3)^{4}}=24

Go to Question:

Prev Question

Next Question