Quantitative Aptitude – Equation – 2*4*8*16 / (log(base 2)4)^2 (log(base 4)8)^3 (log(base 8)16)^4


Slot – 3 – Quantitative Aptitude – Equation – 2*4*8*16 / (log(base 2)4)^2 (log(base 4)8)^3 (log(base 8)16)^4


Q. 2*4*8*16 / (log(base 2)4)^2 (log(base 4)8)^3 (log(base 8)16)^4 equals?
Answer: 24

Solution:
(2×4×8×16)/((log(base 2⁡)4)^2 (log(base 4⁡)8)^3 (log(base 8⁡)16)^4 )
= (2×4×8×16)/((2 log(base 2⁡)2)^2 (3/2 log(base 2)⁡2)^3 (4/3 log(base 2⁡)2)^4 )
=(2×4×8×16)/((2 ×1)^2 (3/2 ×1)^3 (4/3 log(base 2)⁡2)^4 )
= (2×4×8×16)/4 = 24


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