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If 9^(3-x) = 81^(4-2x) , then what would be the value of x?

+1 vote
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posted Sep 27, 2014 by Deepak Chitragar

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3 Solutions

+1 vote

9^(3-x) = 81^(4-2x)
=> 9^(3-x) = 9^(8-4x)
=> 3-x = 8-4x
=> 3x = 5
=> x=5/3

solution Sep 27, 2014 by Salil Agrawal
+1 vote

5/3 is the answer

solution Sep 30, 2014 by Muniprasad
+1 vote

9 ^( 3-x) =81^( 4-2x)
(3^2)^(3-x)=(3^4)^(4-2x)
3^(2*(3-x))=3^( 4*(4-2x))
on camparing
2(3-x) =4(4-2x)
6-2x=16-8x
-2x+8x=16-6
6x=10
x=10/6
x=5/3

solution Oct 31, 2014 by Dheeraj Kumar
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