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Find the value of ((log)3 4)((log)4 5)((...

Find the value of `((log)_3 4)((log)_4 5)((log)_5 6)((log)_6 7)((log)_7 8)((log)_8 9)dot`

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Knowledge Check

  • find the value of log 8+ log(1/8)

    A
    0
    B
    1
    C
    2
    D
    log(64)
  • The value of log_(3)4.log_(4)5.log_(5)6.log_(6)7log_(7)8.log_(8)9 is

    A
    `3`
    B
    `2`
    C
    `4`
    D
    `1`
  • The value of (log_(2)8+log_(3)9+log_(5)25) is :

    A
    5
    B
    6
    C
    7
    D
    none of these
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    Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8 a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6

    The value of 3^((log)_4 5)+4^((log)_5 3)-5^((log)_4 3)-3^((log)_5 4) is- a.0 b. 1 c.2 d. none of these

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