ln(4x+10)=12

Solution for ln(4x+10)=12 equation:

Simplifying
ln(4x + 10) = 12

Reorder the terms:
ln(10 + 4x) = 12
(10 * ln + 4x * ln) = 12
(10ln + 4lnx) = 12

Solving
10ln + 4lnx = 12

Solving for variable 'l'.

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

Reorder the terms:
-12 + 10ln + 4lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 10ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5ln + 2lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + 5ln + 2lnx)' equal to zero and attempt to solve:

Simplifying
-6 + 5ln + 2lnx = 0

Solving
-6 + 5ln + 2lnx = 0

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

Add '6' to each side of the equation.
-6 + 5ln + 6 + 2lnx = 0 + 6

Reorder the terms:
-6 + 6 + 5ln + 2lnx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5ln + 2lnx = 0 + 6
5ln + 2lnx = 0 + 6

Combine like terms: 0 + 6 = 6
5ln + 2lnx = 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.