Question

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

Answer 1

Correct Answer - 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`