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

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


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

Reorder the terms:
4ln(-10 + 3x) + 10 = 12
(-10 * 4ln + 3x * 4ln) + 10 = 12
(-40ln + 12lnx) + 10 = 12

Reorder the terms:
10 + -40ln + 12lnx = 12

Solving
10 + -40ln + 12lnx = 12

Solving for variable 'l'.

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

Add '-10' to each side of the equation.
10 + -40ln + -10 + 12lnx = 12 + -10

Reorder the terms:
10 + -10 + -40ln + 12lnx = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -40ln + 12lnx = 12 + -10
-40ln + 12lnx = 12 + -10

Combine like terms: 12 + -10 = 2
-40ln + 12lnx = 2

Reorder the terms:
-2 + -40ln + 12lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -40ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -20ln + 6lnx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -20ln + 6lnx)' equal to zero and attempt to solve:

Simplifying
-1 + -20ln + 6lnx = 0

Solving
-1 + -20ln + 6lnx = 0

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

Add '1' to each side of the equation.
-1 + -20ln + 1 + 6lnx = 0 + 1

Reorder the terms:
-1 + 1 + -20ln + 6lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -20ln + 6lnx = 0 + 1
-20ln + 6lnx = 0 + 1

Combine like terms: 0 + 1 = 1
-20ln + 6lnx = 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.

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