5ln(x+3)-16=14

Solution for 5ln(x+3)-16=14 equation:

Simplifying
5ln(x + 3) + -16 = 14

Reorder the terms:
5ln(3 + x) + -16 = 14
(3 * 5ln + x * 5ln) + -16 = 14
(15ln + 5lnx) + -16 = 14

Reorder the terms:
-16 + 15ln + 5lnx = 14

Solving
-16 + 15ln + 5lnx = 14

Solving for variable 'l'.

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

Add '16' to each side of the equation.
-16 + 15ln + 16 + 5lnx = 14 + 16

Reorder the terms:
-16 + 16 + 15ln + 5lnx = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 15ln + 5lnx = 14 + 16
15ln + 5lnx = 14 + 16

Combine like terms: 14 + 16 = 30
15ln + 5lnx = 30

Reorder the terms:
-30 + 15ln + 5lnx = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 15ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 3ln + lnx) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + 3ln + lnx)' equal to zero and attempt to solve:

Simplifying
-6 + 3ln + lnx = 0

Solving
-6 + 3ln + lnx = 0

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

Add '6' to each side of the equation.
-6 + 3ln + 6 + lnx = 0 + 6

Reorder the terms:
-6 + 6 + 3ln + lnx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3ln + lnx = 0 + 6
3ln + lnx = 0 + 6

Combine like terms: 0 + 6 = 6
3ln + lnx = 6

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.