ln(x+5)7+8=29

Solution for ln(x+5)7+8=29 equation:

Simplifying
ln(x + 5) * 7 + 8 = 29

Reorder the terms:
ln(5 + x) * 7 + 8 = 29

Reorder the terms for easier multiplication:
7ln(5 + x) + 8 = 29
(5 * 7ln + x * 7ln) + 8 = 29
(35ln + 7lnx) + 8 = 29

Reorder the terms:
8 + 35ln + 7lnx = 29

Solving
8 + 35ln + 7lnx = 29

Solving for variable 'l'.

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

Add '-8' to each side of the equation.
8 + 35ln + -8 + 7lnx = 29 + -8

Reorder the terms:
8 + -8 + 35ln + 7lnx = 29 + -8

Combine like terms: 8 + -8 = 0
0 + 35ln + 7lnx = 29 + -8
35ln + 7lnx = 29 + -8

Combine like terms: 29 + -8 = 21
35ln + 7lnx = 21

Reorder the terms:
-21 + 35ln + 7lnx = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 35ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + 5ln + lnx) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-3 + 5ln + lnx)' equal to zero and attempt to solve:

Simplifying
-3 + 5ln + lnx = 0

Solving
-3 + 5ln + lnx = 0

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

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

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

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

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