Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The equation 
16 + log 2x 64 = 3 has :
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c,d)
+ log 2x 64 = 3 ⇒ 4 
+ 6 log 2x 2 = 3
⇒ 
+ 
= 3 ⇒ 
+ 
= 3
but log 2 x = t
∴ 
+ 
= 3 ⇒ 2 + 2t + 6t = 3t + 3t 2
⇒ 3t 2 – 5t – 2 = 0 ⇒ 3t 2 – 5t – 2 = 0
⇒ (3t + 1)(t – 2) = 0
⇒ t = – 
, t = 2
⇒ log 2 x = – 
log 2 x = 2
⇒ x = 2 –1/3 x = 4
= 
.
──────────────────────────────────────────────────────────────────────────────────────────
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