To find the value of x in the equation 3 x (3^4) = 3x, let's break down the equation step by step.
First, simplify the expression on the left side of the equation. The exponent 4 in the term 3^4 means that we multiply 3 by itself four times: 3 x 3 x 3 x 3 = 81.
So, the equation becomes 3 x 81 = 3x.
Now, we simplify the left side of the equation: 3 multiplied by 81 equals 243.
So, we have 243 = 3x.
To solve for x, we need to isolate it on one side of the equation.
To do this, we divide both sides of the equation by 3.
243 ÷ 3 = (3x) ÷ 3.
This simplifies to 81 = x.
Therefore, the value of x in the equation 3 x (3^4) = 3x is 81.