6-ln(x+1)=8

Solution for 6-ln(x+1)=8 equation:

Simplifying
6 + -1ln(x + 1) = 8

Reorder the terms:
6 + -1ln(1 + x) = 8
6 + (1 * -1ln + x * -1ln) = 8
6 + (-1ln + -1lnx) = 8

Solving
6 + -1ln + -1lnx = 8

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 + -1ln + -6 + -1lnx = 8 + -6

Reorder the terms:
6 + -6 + -1ln + -1lnx = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1ln + -1lnx = 8 + -6
-1ln + -1lnx = 8 + -6

Combine like terms: 8 + -6 = 2
-1ln + -1lnx = 2

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

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

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

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

Simplifying
2 + ln + lnx = 0

Solving
2 + ln + lnx = 0

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

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

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

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

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

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.