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The sum of all the values of a satisfyin...

The sum of all the values of a satisfying the equation `|[log_10 a,-1],[log_10(a-1),2]|=log_10 a+log_10 2`

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`2log_(10)a+log_(10)(a-1)=log_(10)2a`
`therefore a^(2)(a-1)=2a`
`therefore a^(2)-a-2=0`
`rArr (a-2)(a+1)=0`
`rArr a=2,-1` (not possible)
`therefore a = 2`
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