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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If log⁡2a+log⁡4b+log⁡4c=2{\log _2}a + {\log _4}b + {\log _4}c = 2

log⁡9a+log⁡3b+log⁡9c=2{\log _9}a + {\log _3}b + {\log _9}c = 2

log⁡16a+log⁡16b+log⁡4c=2{\log _{16}}a + {\log _{16}}b + {\log _4}c = 2 then
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Correct option: A
a=23,b=278,c=323a = \frac{2}{3},b = \frac{{27}}{8},c = \frac{{32}}{3}
Option A (a=23,b=278,c=323a = \frac{2}{3},b = \frac{{27}}{8},c = \frac{{32}}{3}) is correct because solving the system of logarithmic equations leads to these values for a, b, and c.

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