Answer: " x = -7 " .
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Explanation:
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Given: " ln (3x + 5) = ln (2x − 2) " ; Solve for "x" .
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Remove the "ln" on both sides of the equation:
We have:
" 3x + 5 = 2x − 2 " ;
Add "2" to each side of the equation; & subtract "2x" from each side of the equation:
3x + 5 + 2 − 2x = 2x − 2 + 2 − 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 − 7 = 0 − 7 ;
to get:
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x = - 7 .
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The answer is: " x = - 7 " .
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