Question

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

Answer 1

Answer:

The solution is $x = 4.4817$

Step-by-step 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:

$e^{\ln{(x^4)}} = e^6$

$x^4 = e^6$

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

$x = (e^6)^{\frac{1}{4}}$

$x = 4.4817$

The solution is $x = 4.4817$