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