To solve for [tex]\(y\)[/tex] given that [tex]\(x = 1\)[/tex], follow these steps:
1. Start with the given expression:
[tex]\[
y = \frac{1}{2} \cdot 4^x
\][/tex]
2. Substitute [tex]\(x = 1\)[/tex] into the expression:
[tex]\[
y = \frac{1}{2} \cdot 4^1
\][/tex]
3. Simplify the exponentiation part [tex]\(4^1\)[/tex]:
[tex]\[
4^1 = 4
\][/tex]
4. Substitute this value back into the expression:
[tex]\[
y = \frac{1}{2} \cdot 4
\][/tex]
5. Perform the multiplication:
[tex]\[
y = \frac{1}{2} \times 4 = 2
\][/tex]
Thus, the solution is:
[tex]\[
y = 2
\][/tex]
