9ln(x-7)-4=41

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Solution for 9ln(x-7)-4=41 equation:


Simplifying
9ln(x + -7) + -4 = 41

Reorder the terms:
9ln(-7 + x) + -4 = 41
(-7 * 9ln + x * 9ln) + -4 = 41
(-63ln + 9lnx) + -4 = 41

Reorder the terms:
-4 + -63ln + 9lnx = 41

Solving
-4 + -63ln + 9lnx = 41

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 = 41 + 4

Reorder the terms:
-4 + 4 + -63ln + 9lnx = 41 + 4

Combine like terms: -4 + 4 = 0
0 + -63ln + 9lnx = 41 + 4
-63ln + 9lnx = 41 + 4

Combine like terms: 41 + 4 = 45
-63ln + 9lnx = 45

Reorder the terms:
-45 + -63ln + 9lnx = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + -63ln + 9lnx = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-5 + -7ln + lnx) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-5 + -7ln + lnx)' equal to zero and attempt to solve: Simplifying -5 + -7ln + lnx = 0 Solving -5 + -7ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -7ln + 5 + lnx = 0 + 5 Reorder the terms: -5 + 5 + -7ln + lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7ln + lnx = 0 + 5 -7ln + lnx = 0 + 5 Combine like terms: 0 + 5 = 5 -7ln + lnx = 5 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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