Answer:
The solution is [tex]x = 4.4817[/tex]
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:
[tex]\ln{(x^4)} = 6[/tex]
Applying exponential to both sides:
[tex]e^{\ln{(x^4)}} = e^6[/tex]
[tex]x^4 = e^6[/tex]
[tex]x = \sqrt[4]{e^6}[/tex]
[tex]x = (e^6)^{\frac{1}{4}}[/tex]
[tex]x = 4.4817[/tex]
The solution is [tex]x = 4.4817[/tex]
