Question

When log y + 3log x = 3, then y is?​

Answer 1

y = (
`(10)/(x)` )³

Explanation:

log(y) + 3log(x) = 3

log(y) + log(x³) = 3

log(x³y) = 3

`log_(10)` (y) + 3
`log_(10)` (x) = 3

`log_(10)` (y) +
`log_(10)` (x³) = 3

`log_(10)` (x³y) = 3 ⇔ 10³ = x³y ⇔ y = (
`(10)/(x)` )³