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By using the formula log(a)x^(n)=nlog(a)...

By using the formula `log_(a)x^(n)=nlog_(a)x,` convert the following. (iv) `log 1024`

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By using the formula log_(a)x^(n)=nlog_(a)x, convert the following. (iii) log5^(23)

By using the formula log_(a)x^(n)=nlog_(a)x, convert the following. (ii) log_(5)8^(50)

Knowledge Check

  • log ( x )^(n) = n .log x is true for n .

    A
    `AA n in N`
    B
    `AA n in Z`
    C
    `n` is positive odd integer
    D
    `n` is positive even integer

  • Lt_(x to 1)(log_(5)5x)^(log_(x)5)=

    A
    e
    B
    `e^(2)`
    C
    `e^(3)`
    D
    `1//e`

    • Similar Questions

    Explore conceptually related problems

    By using the formula log_(a)x^(n)=nlog_(a)x, convert the following. (i) log_(2)7^(25)

    Using log_ax^n = n log_a x , expand the following : log_2^7^25 .

    Prove that log_(a)xy=log_(a)x+log_(a)y.

    Determine the values of the following. (iv) log_(7)1

    Find the derivative of y = log_()(log x)

    Note : log x = log_10 x : log 1024

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