Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the product of all solutions of the equation 
can be expressed in the lowest form as 
then the value of (m – n) is
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)
Sol. 
⇒ Taking log both sides w.r.t. x
⇒ log x 2009 + 1 – log x 2010 = log x 2010.log x 2009
⇒ 
⇒ 
Let nx = t, t 2 + n 
x – n2009 n2010 = 0
sum of roots = – n 
⇒ nx 1 + nx 2 = – n 
= n 
⇒ x 1 x 2 = 
m = 2010, n = 2009 ⇒ m – n = 1
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