Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The sum of all the real solutions of the equation 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
C
Note 
,
,
.
Let 
. Then LHS 
and 
.
Equation becomes 
, i.e., 
.
So 
or 
.
Both satisfy domain conditions (bases 
; arguments 
).
Sum 
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let and be the roots of the equation such that . Then the set of all possible values of is :
A building construction work can be completed by two masons A and B together in 22.5 days. Mason A …
If and are the roots of the equation , then is equal to :
The smallest positive integral value of , for which all the roots of are real and distinct, is eq…
Let be the roots of the quadratic equation . If , then the sum of all possible values of is:
The sum of all the roots of the equation , is: