ln(2x+6)=10

Solution for ln(2x+6)=10 equation:

Simplifying
ln(2x + 6) = 10

Reorder the terms:
ln(6 + 2x) = 10
(6 * ln + 2x * ln) = 10
(6ln + 2lnx) = 10

Solving
6ln + 2lnx = 10

Solving for variable 'l'.

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

Reorder the terms:
-10 + 6ln + 2lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 6ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3ln + lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + 3ln + lnx)' equal to zero and attempt to solve:

Simplifying
-5 + 3ln + lnx = 0

Solving
-5 + 3ln + lnx = 0

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

Add '5' to each side of the equation.
-5 + 3ln + 5 + lnx = 0 + 5

Reorder the terms:
-5 + 5 + 3ln + lnx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3ln + lnx = 0 + 5
3ln + lnx = 0 + 5

Combine like terms: 0 + 5 = 5
3ln + lnx = 5

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.