To solve the exponential equation \(3^4 = 3^x\), we can set the exponents equal to each other since the bases are the same.
Given: \[ 3^4 = 3^x \]
We can equate the exponents: \[ 4 = x \]
So, the solution is: \[ x = 4 \]
If you meant to write a different equation or if there's more context, please clarify!