Question

Identify the solution set of 3 In 4 = 2 In x.
0 {6}
O {-8, 8)
O {8}

Answer 1

x = 8

Explanation:

3 ln 4 = 2 ln x ( x > 0 )

ln
`4^(3)` = ln
`x^(2)`

x² = 4³

x² = (2³)²

x = ± 2³

`x_(1)` = 8

`x_(2)` = - 8 ( strange root, does not satisfy the domain of given function )

x = 8