7ln(x+8)-6lnx=0

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Solution for 7ln(x+8)-6lnx=0 equation:


Simplifying
7ln(x + 8) + -6lnx = 0

Reorder the terms:
7ln(8 + x) + -6lnx = 0
(8 * 7ln + x * 7ln) + -6lnx = 0
(56ln + 7lnx) + -6lnx = 0

Combine like terms: 7lnx + -6lnx = 1lnx
56ln + 1lnx = 0

Solving
56ln + 1lnx = 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), 'ln'.
ln(56 + x) = 0

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 '(56 + x)' equal to zero and attempt to solve: Simplifying 56 + x = 0 Solving 56 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + x = 0 + -56 x = 0 + -56 Combine like terms: 0 + -56 = -56 x = -56 Add '-1x' to each side of the equation. x + -1x = -56 + -1x Combine like terms: x + -1x = 0 0 = -56 + -1x Simplifying 0 = -56 + -1x 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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