Question

3^4x+1-2×3^2x+2-81=0
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Answer 1

Answer:

*༆✿ ANSWER ✿༆*

Given equation is:

3^4x+1−2×3^2x+2−81=0

Let  3^2x=t

Hence the equation changes to

3 × t² − 18 × t − 81 = 0

t² − 6t − 27 = 0

t² − 9t + 3t − 27 = 0

t( t − 9 ) +3 ( t − 9 ) = 0

( t + 3 )( t − 9 ) = 0

t = −3 ... not possible.

∴t=9

∴3^2x=9

∴2x=2

∴x=1