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A line x=k intersects the graph of y=lo...

A line x=k intersects the graph of `y=log_4 x` and `y=log_4 (x + 4)`. The distance between the points of intersection is 0.5, then the value of k is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
We have `log_(4)(k+4)-log_(4)x=0.5`
`rArr "log"_(4)(k+4)/(k)=0.5`
`rArr (k+4)/(k)=2`
`rArr k = 4`
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