3^5x-4=81^x+3

To solve for x, we can start by simplifying both sides of the equation:

3^(5x-4) = 81^(x+3)

We can rewrite 81 as 3^4:

3^(5x-4) = (3^4)^(x+3)

Simplify the right side by raising 3^4 to the power of (x+3):

3^(5x-4) = 3^(4(x+3))

Now we can set the exponents equal to each other:

5x-4 = 4(x+3)

Simplify and solve for x:

5x-4 = 4x+12

x = 16

Therefore, the solution to the equation is x = 16.