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Answered

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what is the true solution to 2 In 4x=2 In 8

Sagot :

mathdragon
divide by two

ln is base e. both sides of the equation are base e so the parts inside the parentheses are equal

x=2

Answer:

  [tex]x=2[/tex] is the true solution.

Step-by-step explanation:

We have been given the expression:

[tex]2\ln 4x=2\ln 8[/tex]

Using:

[tex]n\ln m=\ln m^n[/tex]

Our given expression becomes:

[tex]\ln{4x}^2=\ln{8^2}[/tex]

Cancel ln from both sides we get:

[tex]4x^2=8^2[/tex]

On simplification we get:

[tex]16x^2=64[/tex]

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

Final simplification gives the result:

[tex]x=2[/tex]


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