I'm not completely sure but this is what I would do. evaluate <span>(1/ 4)^x - 1 </span>as is. But change the (1 /2)^2x to (2/4)^2x. This way both fractions have the same denominator and in this sense, the same base. The 2/4 base still evaluates into 1/2 so nothing, mathematically, is being broken here.
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1. Setting up the right triangle we have the opposite and adjacent so we use tan. tan angle = 28/32 tan^-1 (28/32) = 41 degrees
