12ln(3)-4ln(10)-ln(x)=

Solution for 12ln(3)-4ln(10)-ln(x)= equation:

Simplifying
12ln(3) + -4ln(10) + -1ln(x) = 0

Reorder the terms for easier multiplication:
12 * 3ln + -4ln(10) + -1ln(x) = 0

Multiply 12 * 3
36ln + -4ln(10) + -1ln(x) = 0

Reorder the terms for easier multiplication:
36ln + -4 * 10ln + -1ln(x) = 0

Multiply -4 * 10
36ln + -40ln + -1ln(x) = 0

Multiply ln * x
36ln + -40ln + -1lnx = 0

Combine like terms: 36ln + -40ln = -4ln
-4ln + -1lnx = 0

Solving
-4ln + -1lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(4 + x) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Add '-1x' to each side of the equation.
x + -1x = -4 + -1x

Combine like terms: x + -1x = 0
0 = -4 + -1x

Simplifying
0 = -4 + -1x

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.