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If a^4b^5=1 then the value of loga(a^5b^...

If `a^4b^5=1` then the value of `log_a(a^5b^4)` equals

A

`9//5`

B

4

C

5

D

`8//5`

Text Solution

Verified by Experts

The correct Answer is:
A
Given ` 4 log_(a) a+5log_(a) b =0`
` rArr log_(a) b = -4//5` …(i)
Now ` log_(a)(a^(5)b^(4)) = 5+4 log_(a) b = 5 + 4 (-4/5)`
` = 5 - 16/5 = 9/5`
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