5ln(4x+6)=10

Solution for 5ln(4x+6)=10 equation:

Simplifying
5ln(4x + 6) = 10

Reorder the terms:
5ln(6 + 4x) = 10
(6 * 5ln + 4x * 5ln) = 10
(30ln + 20lnx) = 10

Solving
30ln + 20lnx = 10

Solving for variable 'l'.

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

Reorder the terms:
-10 + 30ln + 20lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 30ln + 20lnx = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-1 + 3ln + 2lnx) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(-1 + 3ln + 2lnx)' equal to zero and attempt to solve:

Simplifying
-1 + 3ln + 2lnx = 0

Solving
-1 + 3ln + 2lnx = 0

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

Add '1' to each side of the equation.
-1 + 3ln + 1 + 2lnx = 0 + 1

Reorder the terms:
-1 + 1 + 3ln + 2lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3ln + 2lnx = 0 + 1
3ln + 2lnx = 0 + 1

Combine like terms: 0 + 1 = 1
3ln + 2lnx = 1

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.