3ln(2x+2)+12=30

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Solution for 3ln(2x+2)+12=30 equation:


Simplifying
3ln(2x + 2) + 12 = 30

Reorder the terms:
3ln(2 + 2x) + 12 = 30
(2 * 3ln + 2x * 3ln) + 12 = 30
(6ln + 6lnx) + 12 = 30

Reorder the terms:
12 + 6ln + 6lnx = 30

Solving
12 + 6ln + 6lnx = 30

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + 6ln + -12 + 6lnx = 30 + -12

Reorder the terms:
12 + -12 + 6ln + 6lnx = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 6ln + 6lnx = 30 + -12
6ln + 6lnx = 30 + -12

Combine like terms: 30 + -12 = 18
6ln + 6lnx = 18

Reorder the terms:
-18 + 6ln + 6lnx = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 6ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + ln + lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-3 + ln + lnx)' equal to zero and attempt to solve: Simplifying -3 + ln + lnx = 0 Solving -3 + ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + ln + 3 + lnx = 0 + 3 Reorder the terms: -3 + 3 + ln + lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + ln + lnx = 0 + 3 ln + lnx = 0 + 3 Combine like terms: 0 + 3 = 3 ln + lnx = 3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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