Solve: 9^2x + 1 = 9^3x - 2

x = 1/216

Step-by-step explanation:

Simplify the equation, like the powers.

81x + 1 = 729x - 2

Subtract 729x on both sides to balance the equation.

-648x + 1 = - 2

Then subtract 1 from both sides.

-648x = - 3

Finally divide by - 648, which then leaves x equal to 1/216

x = 1/216

1/216

Step-by-step explanation:

Move variables to one side and constants to the other

9^3x-9^2x=3

factor out 9^2x

(9^2x) (8) = 3

9^2x=3/8

3^4x=3/8

3^3x=1/8

x=1/8 x 27

x=1/216