2*ln(2x+5)-6=20

Solution for 2*ln(2x+5)-6=20 equation:

Simplifying
2ln(2x + 5) + -6 = 20

Reorder the terms:
2ln(5 + 2x) + -6 = 20
(5 * 2ln + 2x * 2ln) + -6 = 20
(10ln + 4lnx) + -6 = 20

Reorder the terms:
-6 + 10ln + 4lnx = 20

Solving
-6 + 10ln + 4lnx = 20

Solving for variable 'l'.

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

Add '6' to each side of the equation.
-6 + 10ln + 6 + 4lnx = 20 + 6

Reorder the terms:
-6 + 6 + 10ln + 4lnx = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 10ln + 4lnx = 20 + 6
10ln + 4lnx = 20 + 6

Combine like terms: 20 + 6 = 26
10ln + 4lnx = 26

Reorder the terms:
-26 + 10ln + 4lnx = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + 10ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 5ln + 2lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-13 + 5ln + 2lnx)' equal to zero and attempt to solve:

Simplifying
-13 + 5ln + 2lnx = 0

Solving
-13 + 5ln + 2lnx = 0

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

Add '13' to each side of the equation.
-13 + 5ln + 13 + 2lnx = 0 + 13

Reorder the terms:
-13 + 13 + 5ln + 2lnx = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 5ln + 2lnx = 0 + 13
5ln + 2lnx = 0 + 13

Combine like terms: 0 + 13 = 13
5ln + 2lnx = 13

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.