5ln(x+6)-8=12

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Solution for 5ln(x+6)-8=12 equation:


Simplifying
5ln(x + 6) + -8 = 12

Reorder the terms:
5ln(6 + x) + -8 = 12
(6 * 5ln + x * 5ln) + -8 = 12
(30ln + 5lnx) + -8 = 12

Reorder the terms:
-8 + 30ln + 5lnx = 12

Solving
-8 + 30ln + 5lnx = 12

Solving for variable 'l'.

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

Add '8' to each side of the equation.
-8 + 30ln + 8 + 5lnx = 12 + 8

Reorder the terms:
-8 + 8 + 30ln + 5lnx = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 30ln + 5lnx = 12 + 8
30ln + 5lnx = 12 + 8

Combine like terms: 12 + 8 = 20
30ln + 5lnx = 20

Reorder the terms:
-20 + 30ln + 5lnx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 30ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 6ln + lnx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + 6ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 6ln + lnx = 0 Solving -4 + 6ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 6ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6ln + lnx = 0 + 4 6ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 6ln + lnx = 4 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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