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meriva
4 years ago
11

Solve for x ln(3x+5)=ln(2x-2)

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
6 0
Answer:  " x = -7 " .
_________________________________________________________
Explanation:
_________________________________________________________

Given:  " ln (3x + 5) = ln (2x <span>− 2) " ;  Solve for "x" .
_________________________________________________________

Remove the "ln" on both sides of the equation:

We have:  

" 3x + 5 = 2x </span><span>− 2 " ; 

Add "2" to each side of the equation; & subtract "2x" from each side of the equation: 

 3x + 5 + 2 </span>− 2x  = 2x − 2 + 2 <span>− 2x ; 

to get: 

  x + 7  = 0  ; 

Now, subtract "7" from each side of the equation; 
     to isolate "x" on one side of the equation; & to solve for "x" ; 

 x + 7 </span>− 7 = 0 <span>− 7 ; 

to get:
_________________________________________________________
</span> x = - 7 .
_________________________________________________________
  The answer is:  " x = - 7 " . 
_________________________________________________________
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