6+5ln(2x-1)=21

Solution for 6+5ln(2x-1)=21 equation:

Simplifying
6 + 5ln(2x + -1) = 21

Reorder the terms:
6 + 5ln(-1 + 2x) = 21
6 + (-1 * 5ln + 2x * 5ln) = 21
6 + (-5ln + 10lnx) = 21

Solving
6 + -5ln + 10lnx = 21

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 + -5ln + -6 + 10lnx = 21 + -6

Reorder the terms:
6 + -6 + -5ln + 10lnx = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -5ln + 10lnx = 21 + -6
-5ln + 10lnx = 21 + -6

Combine like terms: 21 + -6 = 15
-5ln + 10lnx = 15

Reorder the terms:
-15 + -5ln + 10lnx = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -5ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + -1ln + 2lnx) = 0

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

Simplifying
-3 + -1ln + 2lnx = 0

Solving
-3 + -1ln + 2lnx = 0

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

Add '3' to each side of the equation.
-3 + -1ln + 3 + 2lnx = 0 + 3

Reorder the terms:
-3 + 3 + -1ln + 2lnx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1ln + 2lnx = 0 + 3
-1ln + 2lnx = 0 + 3

Combine like terms: 0 + 3 = 3
-1ln + 2lnx = 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.