6+7ln(2x-1)=62

Solution for 6+7ln(2x-1)=62 equation:

Simplifying
6 + 7ln(2x + -1) = 62

Reorder the terms:
6 + 7ln(-1 + 2x) = 62
6 + (-1 * 7ln + 2x * 7ln) = 62
6 + (-7ln + 14lnx) = 62

Solving
6 + -7ln + 14lnx = 62

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 + -7ln + -6 + 14lnx = 62 + -6

Reorder the terms:
6 + -6 + -7ln + 14lnx = 62 + -6

Combine like terms: 6 + -6 = 0
0 + -7ln + 14lnx = 62 + -6
-7ln + 14lnx = 62 + -6

Combine like terms: 62 + -6 = 56
-7ln + 14lnx = 56

Reorder the terms:
-56 + -7ln + 14lnx = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + -7ln + 14lnx = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-8 + -1ln + 2lnx) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-8 + -1ln + 2lnx)' equal to zero and attempt to solve:

Simplifying
-8 + -1ln + 2lnx = 0

Solving
-8 + -1ln + 2lnx = 0

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

Add '8' to each side of the equation.
-8 + -1ln + 8 + 2lnx = 0 + 8

Reorder the terms:
-8 + 8 + -1ln + 2lnx = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1ln + 2lnx = 0 + 8
-1ln + 2lnx = 0 + 8

Combine like terms: 0 + 8 = 8
-1ln + 2lnx = 8

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.