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AlgebraLogarithmInteger TypeVery Hard
Q57.The value of 6+log⁡3/2(1324−1324−1324−132⋯)6+\log_{3/2}\left(\frac{1}{3\sqrt2}\sqrt{4-\frac{1}{3\sqrt2}\sqrt{4-\frac{1}{3\sqrt2}\sqrt{4-\frac{1}{3\sqrt2}\cdots}}}\right) is .
Subjective / proof problem — work it out in the Scratchpad, then reveal the solution.
citeJEE (Advanced) 2012 — Mathematics — Paper 1
2012id · 5344d436
Subjective — no options to pick