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

Sagot :

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]

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