Question

Solve the equation below. Show all work and round four decimal places.
In(x^4)=6

Answer 1

The solution is
`x = 4.4817`

Explanation:

The inverse of the ln function is the exponential, which means that to solve this question, we apply the exponential to both sides.

We have that:

`ln((x^4)) = 6`

Applying exponential to both sides:

`e^(ln((x^4))) = e^6`

`x^4 = e^6`

`x = \sqrt[4]{e^6}`

`x = (e^6)^{(1)/(4)}`

`x = 4.4817`

The solution is
`x = 4.4817`