Answer:
the value of e is, 2
Step-by-step explanation:
Solve the equation:
[tex](\frac{1}{2})^e = \frac{1}{4}[/tex]
we can write:
[tex]\frac{1}{4} = \frac{1}{2 \cdot 2}=\frac{1}{2^2} = (\frac{1}{2})^2[/tex]
⇒[tex](\frac{1}{2})^e = (\frac{1}{2})^2[/tex] ....[1]
Using :
If [tex]a^m = a^n[/tex], then [tex]m = n[/tex]
then;
On comparing both sides in [1] we have;
[tex]e = 2[/tex]
therefore, the value of e is, 2