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The expression q^((sqrt(6+sqrt(6+sqrt(6+...

The expression `q^((sqrt(6+sqrt(6+sqrt(6+....oo))))^(log_3 p^([(log_q(log_q r))/(log_q p)]`

A

q

B

p

C

r

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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The expression x=log_(2)log_(9)sqrt(6+sqrt(6+sqrt(6+.........oo))) simplifies to

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Knowledge Check

  • 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

  • Find the value of (log sqrt(27) + log sqrt(8) - log sqrt(125))/(log 6 - log 5)

    A
    `2/3`
    B
    `1/3`
    C
    `3/2`
    D
    none of these

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