Question 408972
  <pre><font size = 3 color = "indigo"><b>
Hi
solving:
  4^2x = 32^1/2
{{{(a^p)^q = a^(p*q)}}}
 ( 2^2)^2x = (2^5)^1/2
    2^4x = 2^5/2
      4x = 5/2
       x = 5/8
CHECKING our Answer***
 4^(2*5/8)= 4^5/4  = 2^10/4 = 2^5/2