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If p and q are positive numbers other than 1, then the least value of `|log_(q)p+log_(p)q|` is ______.

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If p and q are positive numbers other than 1, then the least value of `|log_(q)p+log_(p)q|` is ______.
A. 3
B. 1
C. 2
D. 4
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Correct Answer - C
We know that AM (a, b) `ge` GM (a, b)
AM `(log_(q)p, log_(p)q) ge GM (log_(q) p, log_(p)q)`
`(|log_(q)p + log_(p)q|)/(2) ge sqrt(log_(p)q. log_(q)p) `
`implies |log_(q)p + log_(p)q| ge 2`
`therefore` The least value is 2.
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