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What is the true solution to 2 In x=2 in 8

User WaltK
by
8.1k points

2 Answers

5 votes

Answer:

x=2 is the true solution.

Explanation:

We have been given the expression:

2\ln 4x=2\ln 8

Using:

n\ln m=\ln m^n

Our given expression becomes:

\ln{4x}^2=\ln{8^2}

Cancel ln from both sides we get:

4x^2=8^2

On simplification we get:

16x^2=64

x^2=4

Final simplification gives the result:

x=2

User David Resnick
by
8.5k points
2 votes

Answer:

x = 8

Explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8

User Vharron
by
7.6k points

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