ln(-3x-1)-ln(7)=9

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Solution for ln(-3x-1)-ln(7)=9 equation:


Simplifying
ln(-3x + -1) + -1ln(7) = 9

Reorder the terms:
ln(-1 + -3x) + -1ln(7) = 9
(-1 * ln + -3x * ln) + -1ln(7) = 9
(-1ln + -3lnx) + -1ln(7) = 9

Reorder the terms for easier multiplication:
-1ln + -3lnx + -1 * 7ln = 9

Multiply -1 * 7
-1ln + -3lnx + -7ln = 9

Reorder the terms:
-1ln + -7ln + -3lnx = 9

Combine like terms: -1ln + -7ln = -8ln
-8ln + -3lnx = 9

Solving
-8ln + -3lnx = 9

Solving for variable 'l'.

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

Reorder the terms:
-9 + -8ln + -3lnx = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -8ln + -3lnx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 8ln + 3lnx) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(9 + 8ln + 3lnx)' equal to zero and attempt to solve: Simplifying 9 + 8ln + 3lnx = 0 Solving 9 + 8ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 8ln + -9 + 3lnx = 0 + -9 Reorder the terms: 9 + -9 + 8ln + 3lnx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8ln + 3lnx = 0 + -9 8ln + 3lnx = 0 + -9 Combine like terms: 0 + -9 = -9 8ln + 3lnx = -9 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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