Solve: 2 In 3 = In(x-4) X=9 X=10 X=13

Question

Solve: 2 In 3 = In(x-4)
X=9
X=10
X=13

in progress 0
Isabelle 1 week 2021-09-10T10:04:48+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T10:06:15+00:00

    Answer:

    x = 13

    Step-by-step explanation:

    2\ln3=\ln(x-4)\\\\\text{Domain:}\\\\x-4>0\qquad\text{add 4 to both sides}\\x-4+4>0+4\\\boxed{x>4}\\====================\\\text{use}\ \log_ab^n=n\log_ab\\\\\ln3^2=\ln(x-4)\iff3^2=x-4\qquad\text{add 4 to both sides}\\\\9+4=x-4+4\\\\13=x\to x=13\in D

    0
    2021-09-10T10:06:30+00:00

    Answer:  The correct answer is:  [D]:  ” x = 13 ” .

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    Step-by-step explanation:

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    Given:  

     2 ln 3 = ln (x – 4) ;  Solve for x  ;

    Note:  2 ln 3 = ln 3² = ln (3 * 3) = ln 9 ;

      ln 9 = ln (x -4) ;

          9 = x – 4 ;

    Add “4”  to each side of the equation;  

     to isolate “x” on one side of the equation;

          & to solve for “x” ;

       

          9 + 4 = x – 4 + 4 ;

    to get:

            13 = x ;

    ↔  x = 13 ;

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        →  which is:  Answer choice:  [D]:  ” x = 13 ” .

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27:3+15-4x7+3-1=? ( )