7ln(x+6)-9lnx=

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Solution for 7ln(x+6)-9lnx= equation:


Simplifying
7ln(x + 6) + -9lnx = 0

Reorder the terms:
7ln(6 + x) + -9lnx = 0
(6 * 7ln + x * 7ln) + -9lnx = 0
(42ln + 7lnx) + -9lnx = 0

Combine like terms: 7lnx + -9lnx = -2lnx
42ln + -2lnx = 0

Solving
42ln + -2lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(21 + -1x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Add 'x' to each side of the equation. -1x + x = -21 + x Combine like terms: -1x + x = 0 0 = -21 + x Simplifying 0 = -21 + x 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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