Question

Solve: 9^2x+1=81^x-2 /3^x
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Answer 1

x=-4

Explanation:

`{9}^(2x + 1) = {81}^(x - 2) / {3}^(x)`

`{3}^(2(2x + 1)) = {3}^(4(x - 2)) / {3}^(x)`

`{3}^(4x + 2) = {3}^(4x - 2) / {3}^(x)`

`{3}^(4x + 2) = {3}^(4x - 2 - x)`

`4x + 2 = 3x - 2`

`4x - 3x = - 2 - 2`

`x = - 4`