1.

If `log_(9)m = 3.5` and `log_(2) n = 7`, then the value of m in terms of n is ______.A. `nsqrt(n)`B. 2nC. `n^(2)`D. `root(3)(n)`

Answer» Correct Answer - A
Given, `log+(8) m = 3.5 log_(2) n = 7`
`implies m = 8^(3.5) " (1)"`
`"and "n = 2^(7) " (2)"`
`m = 8^(35//10)`
`m = (2^(3))^(7//2)`
`=(2^(7))^(3//2)`
`=n^(3//2)" " (because " from Eq. (1))"`
`implies m = nsqrt(n)`.


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