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Prove that: (loga(logba))/(logb(logab))...

Prove that: ` (log_a(log_ba))/(log_b(log_ab))=-log_ab`

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Knowledge Check

  • log{log_(ab)a+(1)/(log_(b)ab)} =

    A
    `0`
    B
    `1`
    C
    log ab
    D
    none of these

  • The value of ("log"_(a)("log"_(b)a))/("log"_(b)("log"_(a)b)) , is

    A
    `"log"_(b)a`
    B
    `"log"_(a) b`
    C
    `-"log"_(a)b`
    D
    `-"log"_(b)a`

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    The value of (log_(a)(x))/(log_(ab)x)-log_(a)b

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