5ln(2x-3)-14=6

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Solution for 5ln(2x-3)-14=6 equation:


Simplifying
5ln(2x + -3) + -14 = 6

Reorder the terms:
5ln(-3 + 2x) + -14 = 6
(-3 * 5ln + 2x * 5ln) + -14 = 6
(-15ln + 10lnx) + -14 = 6

Reorder the terms:
-14 + -15ln + 10lnx = 6

Solving
-14 + -15ln + 10lnx = 6

Solving for variable 'l'.

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

Add '14' to each side of the equation.
-14 + -15ln + 14 + 10lnx = 6 + 14

Reorder the terms:
-14 + 14 + -15ln + 10lnx = 6 + 14

Combine like terms: -14 + 14 = 0
0 + -15ln + 10lnx = 6 + 14
-15ln + 10lnx = 6 + 14

Combine like terms: 6 + 14 = 20
-15ln + 10lnx = 20

Reorder the terms:
-20 + -15ln + 10lnx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -15ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -3ln + 2lnx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -4 + -3ln + 2lnx = 0 Solving -4 + -3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -3ln + 4 + 2lnx = 0 + 4 Reorder the terms: -4 + 4 + -3ln + 2lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3ln + 2lnx = 0 + 4 -3ln + 2lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -3ln + 2lnx = 4 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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