9ln(x-7)-4=44

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Solution for 9ln(x-7)-4=44 equation:


Simplifying
9ln(x + -7) + -4 = 44

Reorder the terms:
9ln(-7 + x) + -4 = 44
(-7 * 9ln + x * 9ln) + -4 = 44
(-63ln + 9lnx) + -4 = 44

Reorder the terms:
-4 + -63ln + 9lnx = 44

Solving
-4 + -63ln + 9lnx = 44

Solving for variable 'l'.

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

Add '4' to each side of the equation.
-4 + -63ln + 4 + 9lnx = 44 + 4

Reorder the terms:
-4 + 4 + -63ln + 9lnx = 44 + 4

Combine like terms: -4 + 4 = 0
0 + -63ln + 9lnx = 44 + 4
-63ln + 9lnx = 44 + 4

Combine like terms: 44 + 4 = 48
-63ln + 9lnx = 48

Reorder the terms:
-48 + -63ln + 9lnx = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -63ln + 9lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + -21ln + 3lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-16 + -21ln + 3lnx)' equal to zero and attempt to solve: Simplifying -16 + -21ln + 3lnx = 0 Solving -16 + -21ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -21ln + 16 + 3lnx = 0 + 16 Reorder the terms: -16 + 16 + -21ln + 3lnx = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -21ln + 3lnx = 0 + 16 -21ln + 3lnx = 0 + 16 Combine like terms: 0 + 16 = 16 -21ln + 3lnx = 16 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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