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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a=0.2,b=5a=0.2, b=\sqrt{5} and x=14+18+116+…∞x=\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\ldots \infty, then alog⁡bx=a^{\log _b x}=
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Correct option: C
4
Option C (4) is correct because simplifying the expression using logarithm properties and the sum of an infinite geometric series results in 4.

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