If n-1- the value of 1-log 2 n-1-log 3 n- -1-log 53 n is

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Fundamental Laws of Logarithms

If n>1, the v...

Question

If n > 1, the value of $\frac{1}{l o g_{2} n} + \frac{1}{l o g_{3} n} + . . . . + \frac{1}{l o g_{53} n}$ is

$\frac{1}{l o g_{53!} n}$

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$\frac{1}{l o g_{n!} 53}$

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None of these.

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If n > 1, the value of $\frac{1}{l o g_{2} n} + \frac{1}{l o g_{3} n} + . . . . + \frac{1}{l o g_{53} n}$ is

\frac{1}{{log}_{2} n} + \frac{1}{{log}_{3} n} + . . . + \frac{1}{{log}_{53} n} = \frac{1}{{log}_{k!} n}

k

(n > 1)

n > 1

\frac{1}{{log}_{2} n} + \frac{1}{{log}_{3} n} + \frac{1}{{log}_{4} n} + . . . . . . + \frac{1}{{log}_{50} n}

If N = n! (n \in N, n > 2) then ({({log}_{2} N)}^{- 1} + {({log}_{3} N)}^{- 1} + . . . . . + {({log}_{n} N)}^{- 1}] is

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