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Question

Quantitative Aptitude Question on Logarithms

2×4×8×16(log24)2(log48)3(log816)4\frac{2×4×8×16}{(log_24)^2(log_48)^3(log_816)^4} equals

Answer

log24=2;log48=32;log816=43log_24=2;log_48=\frac{3}{2};log_816=\frac{4}{3}

2×4×8×16(log24)2(log48)3(log816)4\frac{2×4×8×16}{(log_24)^2(log_48)^3(log_816)^4}

= 2×4×8×16(2)2×(32)3×(43)4=24\frac{2×4×8×16}{(2)^2×\bigg(\frac{3}{2}\bigg)^3×\bigg(\frac{4}{3}\bigg)^4} = 24