9ln(x-4)-3=15

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Solution for 9ln(x-4)-3=15 equation:


Simplifying
9ln(x + -4) + -3 = 15

Reorder the terms:
9ln(-4 + x) + -3 = 15
(-4 * 9ln + x * 9ln) + -3 = 15
(-36ln + 9lnx) + -3 = 15

Reorder the terms:
-3 + -36ln + 9lnx = 15

Solving
-3 + -36ln + 9lnx = 15

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + -36ln + 3 + 9lnx = 15 + 3

Reorder the terms:
-3 + 3 + -36ln + 9lnx = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -36ln + 9lnx = 15 + 3
-36ln + 9lnx = 15 + 3

Combine like terms: 15 + 3 = 18
-36ln + 9lnx = 18

Reorder the terms:
-18 + -36ln + 9lnx = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -36ln + 9lnx = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-2 + -4ln + lnx) = 0

Ignore the factor 9.

Subproblem 1

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