Question

How do you solve to get y?

Answer 1

y = 64

Explanation:

Using the rule of logarithms

•
`log_(b)` x = n ⇔ x =
`b^(n)`

Given

`log_(y)` 4 =
`\frac{1}3}`, then

4 =
`y^{(1)/(3) }`

Cube both sides

4³ = (
`y^{(1)/(3) }`)³, hence

y = 64