2. Solve 3^4x-5 = (1/27) ^2x+10 for x. Show your work.

Simplify both sides of the equation. (3^4) (x) - 5 = (127) ^2x+10

Simplify:

81x - 5 = 1729 x + 10

Subtract 1/729x from both sides.

81x - 5 - 1/729 x = 1/729 x + 10 - 1/729 x

59048/729 x - 5 = 10

Add 5 to both sides.

59048/729 x - 5 + 5 = 10 + 5

59048/729 x = 15

Multiply both sides by 729/59048.

(729/59048) x (59048/729 x) = (729/59048) x (15)

Answer: x = 10935/59048