Question

What value of c solves the equation? 4^c = 1/16

and

What value of k solves the equation?

k^-2=1/32

Answer 1

4^c = 1/16. Solve for c. One of the easiest ways in which to solve this is writing 1/16 as 4^(-2). Then 4^c = 4^(-2). Because the bases are the same, c = -2.