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The value of log sqrt(2sqrt(2sqrt(2...oo...

The value of log `sqrt(2sqrt(2sqrt(2...oo" times")))+log sqrt(3sqrt(3sqrt(3...oo" times")))` is

A

1

B

2

C

log5

D

log6

Text Solution

Verified by Experts

The correct Answer is:
D
(i) log a + log b = log ab and log `sqrt(xsqrt(x...oo))= x`.
(ii) Use, `sqrt(asqrt(asqrt(asqrt(a...oo)))) = a` and then use log a + log b = log ab.
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