Answer:
y = 64
Step-by-step explanation:
Using the rule of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{y}[/tex] 4 = [tex]\frac{1}3}[/tex], then
4 = [tex]y^{\frac{1}{3} }[/tex]
Cube both sides
4³ = ([tex]y^{\frac{1}{3} }[/tex])³, hence
y = 64
