ln(4)-ln(x+9)=3

Solution for ln(4)-ln(x+9)=3 equation:

Simplifying
ln(4) + -1ln(x + 9) = 3

Reorder the terms for easier multiplication:
4ln + -1ln(x + 9) = 3

Reorder the terms:
4ln + -1ln(9 + x) = 3
4ln + (9 * -1ln + x * -1ln) = 3
4ln + (-9ln + -1lnx) = 3

Combine like terms: 4ln + -9ln = -5ln
-5ln + -1lnx = 3

Solving
-5ln + -1lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + -5ln + -1lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -5ln + -1lnx = 0

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

Ignore the factor -1.
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.