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The value of N satisfying log(a)[1+log(b...

The value of `N` satisfying `log_(a)[1+log_(b){1+log_(c)(1+log_(p)N)}]=0` is

A

`2`

B

`0`

C

`5`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
D
`1+log_(b){1+log_(c)(1+log_(p)N)}=a^(0)=1`
`rArr log_(b){1+log_(c)(1+log+_(p)N)}=0 rArr 1+log_(c)(1+log_(p)N)=1`
`rArr log_(c)(1+log_(p)N) =0 rArr 1+log_(p)N=1`
`rArr log_(p)N=0 rArr N=1` Ans.
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