If log(x - 5) = log(x) - log(5) and log(y - 6) = log(y) - log(6) then which of t

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Question
If log(x - 5) = log(x) - log(5) and log(y - 6) = log(y) - log(6) then which of the following is correct?
Options
A. x > y
B. x < y
C. x = y
D. Can't say

Correct Answer

x < y

Explanation

Given log( x - 5) = log(x) - log(5)
? x -5 = x/5
? x = 25/ 4 ....(i)

Again from question
log(y - 6) = log(y) - log(6)
? y - 6 = y/6
? y = 36/5 ...(ii)

From equations (i) & (ii) x < y

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