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If `2"log"_(8) a =x, "log"_(2) 2a = y " and " y-x =4,` then x =

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If `2"log"_(8) a =x, "log"_(2) 2a = y " and " y-x =4,` then x =
A. 10
B. 16
C. 4
D. 6
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2 Answers

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by (25.0k points)
Correct Answer - D
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2log8a = x

log8a^2 = x

log22a = y

2^y = 2a

2^y-1 = a

2^x+3 = a             (y = x + 4)

log82^2x+6 = x

2x + 6/3 = x

2x + 6 = 3x

x = 6

​​​

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