Answer:
x = 2.5
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Note that 4 = 2² and 32 = [tex]2^{5}[/tex], then
[tex](2^2)^{x}[/tex] = [tex]2^{5}[/tex], that is
[tex]2^{2x}[/tex] = [tex]2^{5}[/tex]
Since the bases on both sides are equal, equate the exponents
2x = 5 ( divide both sides by 2 )
x = 2.5
