3ln(4x-6)-7=5

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Solution for 3ln(4x-6)-7=5 equation:


Simplifying
3ln(4x + -6) + -7 = 5

Reorder the terms:
3ln(-6 + 4x) + -7 = 5
(-6 * 3ln + 4x * 3ln) + -7 = 5
(-18ln + 12lnx) + -7 = 5

Reorder the terms:
-7 + -18ln + 12lnx = 5

Solving
-7 + -18ln + 12lnx = 5

Solving for variable 'l'.

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

Add '7' to each side of the equation.
-7 + -18ln + 7 + 12lnx = 5 + 7

Reorder the terms:
-7 + 7 + -18ln + 12lnx = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -18ln + 12lnx = 5 + 7
-18ln + 12lnx = 5 + 7

Combine like terms: 5 + 7 = 12
-18ln + 12lnx = 12

Reorder the terms:
-12 + -18ln + 12lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -18ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + -3ln + 2lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-2 + -3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -2 + -3ln + 2lnx = 0 Solving -2 + -3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + 2 + 2lnx = 0 + 2 Reorder the terms: -2 + 2 + -3ln + 2lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + 2lnx = 0 + 2 -3ln + 2lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -3ln + 2lnx = 2 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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