Respuesta :

wegnerkolmp2741o

Answer:

x =4

Step-by-step explanation:

2 ln x = 4 ln 2

Divide each side by 2

2/2 In x = 4/2 In 2

ln x = 2 ln 2

Remember that a ln b = ln b^a

ln x = ln 2^2

ln x = ln 4

We are taking the natural log on both sides so , what we are taking the natural log of must be the same

x =4

ivycoveredwalls

Answer:

4

Step-by-step explanation:

Use the property of logarithms [tex]n\ln x = \ln x^n[/tex]. (The number in front of ln becomes an exponent--or vice versa!)

Using that property on both sides, you get

[tex]\ln{x^2} = \ln{2^4}[/tex]

But that means

[tex]x^2=4^2\\x^2=16\\x=4[/tex]

Notice that [tex]x=-4[/tex] is not a solution because [tex]\ln(-4)[/tex] is undefined. Negative numbers do not have logarithms.  The domain of [tex]\ln x[/tex] is the set of positive numbers.

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