Question:

If \(9^{2x – 1} – 81^{x-1} = 1944\), then x is

Updated On: Sep 26, 2024
  • 3
  • \(\frac{9}{4}\)
  • \(\frac{4}{9}\)
  • \(\frac{1}{3}\)
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

\(9^{(2x−1)}−81^{(x−1)}=1944\)
\(9^{(2x−1)}−9^{(2x−2)}=1944\)
\(9^{2x−2}×8=1944,\)
\(3^{(4x−4)}=3^5\)
\(4x−4=5\)
\(x=\frac{9}{4}\)

Was this answer helpful?
0
0

Questions Asked in CAT exam

View More Questions