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The value of (6 a^(log(e)b)(log(a^(2))b...

The value of ` (6 a^(log_(e)b)(log_(a^(2))b)(log_(b^(2))a))/(e^(log_(e)a*log_(e)b))` is

A

independent of a

B

independent of b

C

dependent on a

D

dependent on b

Text Solution

Verified by Experts

The correct Answer is:
A, B
`(6a^(log_(e)b)log_(a^(2))b*log_(b^(2))a)/(e^(log_(e)a*log_(e)b))=(6a^(log_(e)b)1/2log_(a)b*1/2log_(b)a)/((e^(log_(e)a))^(log_(e)b))`
` (6/4 a^(log_(e)b))/(a^(log_(e)b))`
`= 3/2`
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