Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of value of x satisfying the equation ⏐ x − 1 ⏐ A = (x − 1) 7 , where A = log 3 x² − 2 log x 9
Text Solution
Verified by ExpertsThe correct answer is:
B
|x – 1| A = (x – 1) 7
case (i) x – 1 = 1 ⇒ x = 2
case (ii) log 3 x 2 – 2 log x 9 = 7 ⇒ 2 log 3 x – 4 log x 3 = 7
let log 3 x = y
∴ 2y – 
= 7 ⇒ 2y 2 – 7y – 4 = 0 ⇒ (2y + 1) (y – 4) = 0
⇒ y = – 
& y = 4
⇒ log 3 x = – 
⇒ log 3 x = 4
x = 3 –1/2 ⇒ x = 81
= for x = 
x – 1 < 0
∴ not acceptable
∴ x = 2 or 81.
──────────────────────────────────────────────────────────────────────────────────────────
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
Match the set P in column one with its super set Q in column II
Column – Ι (set P) Column – ΙΙ (set…
If ≤ 4, then the least and the highest values of 4x 2 are:
If ≥ 1 and is an odd integer then number of possible values of α is
If log a b = 2; log b c = 2 and log 3 c = 3 + log 3 a then (a + b + c) equals
The sum of the solutions of the equation 9 x – 6 · 3 x + 8 = 0 is
The expression: reduces to