To solve the equation 4^2 * x - 6 = 1, we can follow these steps:

Step 1: Simplify the left side of the equation by evaluating 4^2, which is equal to 16.
16 * x - 6 = 1

Step 2: Add 6 to both sides of the equation to isolate the term with x on the left side.
16 * x = 1 + 6
16 * x = 7

Step 3: Divide both sides of the equation by 16 to solve for x.
x = 7/16

Therefore, the solution to the equation 4^2 * x - 6 = 1 is x = 7/16.